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Für einen Stumpf mit quadratischen Flächen der Seiten ",[576,1075,1077,1091],{"className":1076},[579],[576,1078,1080],{"className":1079},[583],[585,1081,1082],{"xmlns":587},[589,1083,1084,1089],{},[592,1085,1086],{},[595,1087,1088],{},"a",[599,1090,1088],{"encoding":601},[576,1092,1094],{"className":1093,"ariaHidden":606},[605],[576,1095,1097,1101],{"className":1096},[610],[576,1098],{"className":1099,"style":1100},[614],"height:0.4306em;",[576,1102,1088],{"className":1103},[619,620],[576,1105,1107,1121],{"className":1106},[579],[576,1108,1110],{"className":1109},[583],[585,1111,1112],{"xmlns":587},[589,1113,1114,1119],{},[592,1115,1116],{},[595,1117,1118],{},"b",[599,1120,1118],{"encoding":601},[576,1122,1124],{"className":1123,"ariaHidden":606},[605],[576,1125,1127,1131],{"className":1126},[610],[576,1128],{"className":1129,"style":1130},[614],"height:0.6944em;",[576,1132,1118],{"className":1133},[619,620]," ist die Höhe der großen Pyramide nach dem Strahlensatz ",[576,1136,1138,1172],{"className":1137},[579],[576,1139,1141],{"className":1140},[583],[585,1142,1143],{"xmlns":587},[589,1144,1145,1169],{},[592,1146,1147,1150,1152],{},[595,1148,1149],{},"H",[674,1151,676],{},[933,1153,1154,1160],{},[592,1155,1156,1158],{},[595,1157,945],{},[595,1159,1088],{},[592,1161,1162,1164,1167],{},[595,1163,1088],{},[674,1165,1166],{},"−",[595,1168,1118],{},[599,1170,1171],{"encoding":601},"H = \\frac{ha}{a - b}",[576,1173,1175,1194],{"className":1174,"ariaHidden":606},[605],[576,1176,1178,1181,1185,1188,1191],{"className":1177},[610],[576,1179],{"className":1180,"style":615},[614],[576,1182,1149],{"className":1183,"style":1184},[619,620],"margin-right:0.0813em;",[576,1186],{"className":1187,"style":709},[708],[576,1189,676],{"className":1190},[713],[576,1192],{"className":1193,"style":709},[708],[576,1195,1197,1201],{"className":1196},[610],[576,1198],{"className":1199,"style":1200},[614],"height:1.2834em;vertical-align:-0.4033em;",[576,1202,1204,1207,1276],{"className":1203},[619],[576,1205],{"className":1206},[984,985],[576,1208,1210],{"className":1209},[933],[576,1211,1213,1267],{"className":1212},[742,992],[576,1214,1216,1264],{"className":1215},[746],[576,1217,1220,1241,1249],{"className":1218,"style":1219},[750],"height:0.8801em;",[576,1221,1222,1225],{"style":1002},[576,1223],{"className":1224,"style":1006},[757],[576,1226,1228],{"className":1227},[762,763,764,765],[576,1229,1231,1234,1238],{"className":1230},[619,765],[576,1232,1088],{"className":1233},[619,620,765],[576,1235,1166],{"className":1236},[1237,765],"mbin",[576,1239,1118],{"className":1240},[619,620,765],[576,1242,1243,1246],{"style":1018},[576,1244],{"className":1245,"style":1006},[757],[576,1247],{"className":1248,"style":1026},[1025],[576,1250,1251,1254],{"style":1029},[576,1252],{"className":1253,"style":1006},[757],[576,1255,1257],{"className":1256},[762,763,764,765],[576,1258,1260],{"className":1259},[619,765],[576,1261,1263],{"className":1262},[619,620,765],"ha",[576,1265,1046],{"className":1266},[1045],[576,1268,1270],{"className":1269},[746],[576,1271,1274],{"className":1272,"style":1273},[750],"height:0.4033em;",[576,1275],{},[576,1277],{"className":1278},[1059,985],". Damit ist",[576,1281,1284],{"className":1282},[1283],"katex-display",[576,1285,1287,1380],{"className":1286},[579],[576,1288,1290],{"className":1289},[583],[585,1291,1293],{"xmlns":587,"display":1292},"block",[589,1294,1295,1377],{},[592,1296,1297,1299,1301,1307,1313,1315,1317,1323,1329,1333,1335,1337,1339,1342,1344,1350],{},[595,1298,929],{},[674,1300,676],{},[933,1302,1303,1305],{},[687,1304,937],{},[687,1306,940],{},[681,1308,1309,1311],{},[595,1310,1088],{},[687,1312,689],{},[595,1314,1149],{},[674,1316,1166],{},[933,1318,1319,1321],{},[687,1320,937],{},[687,1322,940],{},[681,1324,1325,1327],{},[595,1326,1118],{},[687,1328,689],{},[674,1330,1332],{"stretchy":1331},"false","(",[595,1334,1149],{},[674,1336,1166],{},[595,1338,945],{},[674,1340,1341],{"stretchy":1331},")",[674,1343,676],{},[933,1345,1346,1348],{},[595,1347,945],{},[687,1349,940],{},[592,1351,1352,1354,1360,1363,1365,1367,1369,1375],{},[674,1353,1332],{"fence":606},[681,1355,1356,1358],{},[595,1357,1088],{},[687,1359,689],{},[674,1361,1362],{},"+",[595,1364,1088],{},[595,1366,1118],{},[674,1368,1362],{},[681,1370,1371,1373],{},[595,1372,1118],{},[687,1374,689],{},[674,1376,1341],{"fence":606},[599,1378,1379],{"encoding":601},"V = \\frac{1}{3} a^2 H - \\frac{1}{3} b^2 (H - h) = \\frac{h}{3} \\left(a^2 + ab + b^2\\right)",[576,1381,1383,1401,1517,1629,1651],{"className":1382,"ariaHidden":606},[605],[576,1384,1386,1389,1392,1395,1398],{"className":1385},[610],[576,1387],{"className":1388,"style":615},[614],[576,1390,929],{"className":1391,"style":961},[619,620],[576,1393],{"className":1394,"style":709},[708],[576,1396,676],{"className":1397},[713],[576,1399],{"className":1400,"style":709},[708],[576,1402,1404,1408,1474,1505,1508,1511,1514],{"className":1403},[610],[576,1405],{"className":1406,"style":1407},[614],"height:2.0074em;vertical-align:-0.686em;",[576,1409,1411,1414,1471],{"className":1410},[619],[576,1412],{"className":1413},[984,985],[576,1415,1417],{"className":1416},[933],[576,1418,1420,1462],{"className":1419},[742,992],[576,1421,1423,1459],{"className":1422},[746],[576,1424,1427,1439,1447],{"className":1425,"style":1426},[750],"height:1.3214em;",[576,1428,1430,1433],{"style":1429},"top:-2.314em;",[576,1431],{"className":1432,"style":1006},[757],[576,1434,1436],{"className":1435},[619],[576,1437,940],{"className":1438},[619],[576,1440,1441,1444],{"style":1018},[576,1442],{"className":1443,"style":1006},[757],[576,1445],{"className":1446,"style":1026},[1025],[576,1448,1450,1453],{"style":1449},"top:-3.677em;",[576,1451],{"className":1452,"style":1006},[757],[576,1454,1456],{"className":1455},[619],[576,1457,937],{"className":1458},[619],[576,1460,1046],{"className":1461},[1045],[576,1463,1465],{"className":1464},[746],[576,1466,1469],{"className":1467,"style":1468},[750],"height:0.686em;",[576,1470],{},[576,1472],{"className":1473},[1059,985],[576,1475,1477,1480],{"className":1476},[619],[576,1478,1088],{"className":1479},[619,620],[576,1481,1483],{"className":1482},[738],[576,1484,1486],{"className":1485},[742],[576,1487,1489],{"className":1488},[746],[576,1490,1493],{"className":1491,"style":1492},[750],"height:0.8641em;",[576,1494,1496,1499],{"style":1495},"top:-3.113em;margin-right:0.05em;",[576,1497],{"className":1498,"style":758},[757],[576,1500,1502],{"className":1501},[762,763,764,765],[576,1503,689],{"className":1504},[619,765],[576,1506,1149],{"className":1507,"style":1184},[619,620],[576,1509],{"className":1510,"style":961},[708],[576,1512,1166],{"className":1513},[1237],[576,1515],{"className":1516,"style":961},[708],[576,1518,1520,1523,1585,1614,1617,1620,1623,1626],{"className":1519},[610],[576,1521],{"className":1522,"style":1407},[614],[576,1524,1526,1529,1582],{"className":1525},[619],[576,1527],{"className":1528},[984,985],[576,1530,1532],{"className":1531},[933],[576,1533,1535,1574],{"className":1534},[742,992],[576,1536,1538,1571],{"className":1537},[746],[576,1539,1541,1552,1560],{"className":1540,"style":1426},[750],[576,1542,1543,1546],{"style":1429},[576,1544],{"className":1545,"style":1006},[757],[576,1547,1549],{"className":1548},[619],[576,1550,940],{"className":1551},[619],[576,1553,1554,1557],{"style":1018},[576,1555],{"className":1556,"style":1006},[757],[576,1558],{"className":1559,"style":1026},[1025],[576,1561,1562,1565],{"style":1449},[576,1563],{"className":1564,"style":1006},[757],[576,1566,1568],{"className":1567},[619],[576,1569,937],{"className":1570},[619],[576,1572,1046],{"className":1573},[1045],[576,1575,1577],{"className":1576},[746],[576,1578,1580],{"className":1579,"style":1468},[750],[576,1581],{},[576,1583],{"className":1584},[1059,985],[576,1586,1588,1591],{"className":1587},[619],[576,1589,1118],{"className":1590},[619,620],[576,1592,1594],{"className":1593},[738],[576,1595,1597],{"className":1596},[742],[576,1598,1600],{"className":1599},[746],[576,1601,1603],{"className":1602,"style":1492},[750],[576,1604,1605,1608],{"style":1495},[576,1606],{"className":1607,"style":758},[757],[576,1609,1611],{"className":1610},[762,763,764,765],[576,1612,689],{"className":1613},[619,765],[576,1615,1332],{"className":1616},[984],[576,1618,1149],{"className":1619,"style":1184},[619,620],[576,1621],{"className":1622,"style":961},[708],[576,1624,1166],{"className":1625},[1237],[576,1627],{"className":1628,"style":961},[708],[576,1630,1632,1636,1639,1642,1645,1648],{"className":1631},[610],[576,1633],{"className":1634,"style":1635},[614],"height:1em;vertical-align:-0.25em;",[576,1637,945],{"className":1638},[619,620],[576,1640,1341],{"className":1641},[1059],[576,1643],{"className":1644,"style":709},[708],[576,1646,676],{"className":1647},[713],[576,1649],{"className":1650,"style":709},[708],[576,1652,1654,1658,1721,1725],{"className":1653},[610],[576,1655],{"className":1656,"style":1657},[614],"height:2.0574em;vertical-align:-0.686em;",[576,1659,1661,1664,1718],{"className":1660},[619],[576,1662],{"className":1663},[984,985],[576,1665,1667],{"className":1666},[933],[576,1668,1670,1710],{"className":1669},[742,992],[576,1671,1673,1707],{"className":1672},[746],[576,1674,1677,1688,1696],{"className":1675,"style":1676},[750],"height:1.3714em;",[576,1678,1679,1682],{"style":1429},[576,1680],{"className":1681,"style":1006},[757],[576,1683,1685],{"className":1684},[619],[576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",[576,1829,1831,1861],{"className":1830},[579],[576,1832,1834],{"className":1833},[583],[585,1835,1836],{"xmlns":587},[589,1837,1838,1858],{},[592,1839,1840,1842,1844,1846],{},[595,1841,1088],{},[595,1843,1118],{},[674,1845,676],{},[1847,1848,1849],"msqrt",{},[592,1850,1851,1853,1856],{},[595,1852,597],{},[674,1854,1855],{},"⋅",[595,1857,639],{},[599,1859,1860],{"encoding":601},"ab = \\sqrt{G \\cdot D}",[576,1862,1864,1882],{"className":1863,"ariaHidden":606},[605],[576,1865,1867,1870,1873,1876,1879],{"className":1866},[610],[576,1868],{"className":1869,"style":1130},[614],[576,1871,1780],{"className":1872},[619,620],[576,1874],{"className":1875,"style":709},[708],[576,1877,676],{"className":1878},[713],[576,1880],{"className":1881,"style":709},[708],[576,1883,1885,1889],{"className":1884},[610],[576,1886],{"className":1887,"style":1888},[614],"height:1.04em;vertical-align:-0.1133em;",[576,1890,1893],{"className":1891},[619,1892],"sqrt",[576,1894,1896,1956],{"className":1895},[742,992],[576,1897,1899,1953],{"className":1898},[746],[576,1900,1903,1930],{"className":1901,"style":1902},[750],"height:0.9267em;",[576,1904,1908,1911],{"className":1905,"style":1907},[1906],"svg-align","top:-3em;",[576,1909],{"className":1910,"style":1006},[757],[576,1912,1915,1918,1921,1924,1927],{"className":1913,"style":1914},[619],"padding-left:0.833em;",[576,1916,597],{"className":1917},[619,620],[576,1919],{"className":1920,"style":961},[708],[576,1922,1855],{"className":1923},[1237],[576,1925],{"className":1926,"style":961},[708],[576,1928,639],{"className":1929,"style":654},[619,620],[576,1931,1933,1936],{"style":1932},"top:-2.8867em;",[576,1934],{"className":1935,"style":1006},[757],[576,1937,1941],{"className":1938,"style":1940},[1939],"hide-tail","min-width:0.853em;height:1.08em;",[1942,1943,1949],"svg",{"xmlns":1944,"width":1945,"height":1946,"viewBox":1947,"preserveAspectRatio":1948},"http:\u002F\u002Fwww.w3.org\u002F2000\u002Fsvg","400em","1.08em","0 0 400000 1080","xMinYMin slice",[1950,1951],"path",{"d":1952},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[576,1954,1046],{"className":1955},[1045],[576,1957,1959],{"className":1958},[746],[576,1960,1963],{"className":1961,"style":1962},[750],"height:0.1133em;",[576,1964],{},[558,1966,1968],{"id":1967},"beispiele","Beispiele",[563,1970,1971,1972,2019,2020,2062,2063,2106,2107,2202,2203,2298],{},"Ein Stumpf hat eine quadratische Grundfläche mit ",[576,1973,1975,1997],{"className":1974},[579],[576,1976,1978],{"className":1977},[583],[585,1979,1980],{"xmlns":587},[589,1981,1982,1994],{},[592,1983,1984,1987,1991],{},[687,1985,1986],{},"6",[1988,1989,1990],"mtext",{}," ",[1988,1992,1993],{},"cm",[599,1995,1996],{"encoding":601},"6\\,\\text{cm}",[576,1998,2000],{"className":1999,"ariaHidden":606},[605],[576,2001,2003,2006,2009,2012],{"className":2002},[610],[576,2004],{"className":2005,"style":910},[614],[576,2007,1986],{"className":2008},[619],[576,2010],{"className":2011,"style":1724},[708],[576,2013,2016],{"className":2014},[619,2015],"text",[576,2017,1993],{"className":2018},[619]," Seitenlänge, eine Deckfläche mit ",[576,2021,2023,2041],{"className":2022},[579],[576,2024,2026],{"className":2025},[583],[585,2027,2028],{"xmlns":587},[589,2029,2030,2038],{},[592,2031,2032,2034,2036],{},[687,2033,940],{},[1988,2035,1990],{},[1988,2037,1993],{},[599,2039,2040],{"encoding":601},"3\\,\\text{cm}",[576,2042,2044],{"className":2043,"ariaHidden":606},[605],[576,2045,2047,2050,2053,2056],{"className":2046},[610],[576,2048],{"className":2049,"style":910},[614],[576,2051,940],{"className":2052},[619],[576,2054],{"className":2055,"style":1724},[708],[576,2057,2059],{"className":2058},[619,2015],[576,2060,1993],{"className":2061},[619]," und die Höhe ",[576,2064,2066,2085],{"className":2065},[579],[576,2067,2069],{"className":2068},[583],[585,2070,2071],{"xmlns":587},[589,2072,2073,2082],{},[592,2074,2075,2078,2080],{},[687,2076,2077],{},"4",[1988,2079,1990],{},[1988,2081,1993],{},[599,2083,2084],{"encoding":601},"4\\,\\text{cm}",[576,2086,2088],{"className":2087,"ariaHidden":606},[605],[576,2089,2091,2094,2097,2100],{"className":2090},[610],[576,2092],{"className":2093,"style":910},[614],[576,2095,2077],{"className":2096},[619],[576,2098],{"className":2099,"style":1724},[708],[576,2101,2103],{"className":2102},[619,2015],[576,2104,1993],{"className":2105},[619],". Also ",[576,2108,2110,2137],{"className":2109},[579],[576,2111,2113],{"className":2112},[583],[585,2114,2115],{"xmlns":587},[589,2116,2117,2134],{},[592,2118,2119,2121,2123,2126,2128],{},[595,2120,597],{},[674,2122,676],{},[687,2124,2125],{},"36",[1988,2127,1990],{},[681,2129,2130,2132],{},[1988,2131,1993],{},[687,2133,689],{},[599,2135,2136],{"encoding":601},"G = 36\\,\\text{cm}^2",[576,2138,2140,2158],{"className":2139,"ariaHidden":606},[605],[576,2141,2143,2146,2149,2152,2155],{"className":2142},[610],[576,2144],{"className":2145,"style":615},[614],[576,2147,597],{"className":2148},[619,620],[576,2150],{"className":2151,"style":709},[708],[576,2153,676],{"className":2154},[713],[576,2156],{"className":2157,"style":709},[708],[576,2159,2161,2164,2167,2170],{"className":2160},[610],[576,2162],{"className":2163,"style":723},[614],[576,2165,2125],{"className":2166},[619],[576,2168],{"className":2169,"style":1724},[708],[576,2171,2173,2179],{"className":2172},[619],[576,2174,2176],{"className":2175},[619,2015],[576,2177,1993],{"className":2178},[619],[576,2180,2182],{"className":2181},[738],[576,2183,2185],{"className":2184},[742],[576,2186,2188],{"className":2187},[746],[576,2189,2191],{"className":2190,"style":723},[750],[576,2192,2193,2196],{"style":753},[576,2194],{"className":2195,"style":758},[757],[576,2197,2199],{"className":2198},[762,763,764,765],[576,2200,689],{"className":2201},[619,765],", ",[576,2204,2206,2233],{"className":2205},[579],[576,2207,2209],{"className":2208},[583],[585,2210,2211],{"xmlns":587},[589,2212,2213,2230],{},[592,2214,2215,2217,2219,2222,2224],{},[595,2216,639],{},[674,2218,676],{},[687,2220,2221],{},"9",[1988,2223,1990],{},[681,2225,2226,2228],{},[1988,2227,1993],{},[687,2229,689],{},[599,2231,2232],{"encoding":601},"D = 9\\,\\text{cm}^2",[576,2234,2236,2254],{"className":2235,"ariaHidden":606},[605],[576,2237,2239,2242,2245,2248,2251],{"className":2238},[610],[576,2240],{"className":2241,"style":615},[614],[576,2243,639],{"className":2244,"style":654},[619,620],[576,2246],{"className":2247,"style":709},[708],[576,2249,676],{"className":2250},[713],[576,2252],{"className":2253,"style":709},[708],[576,2255,2257,2260,2263,2266],{"className":2256},[610],[576,2258],{"className":2259,"style":723},[614],[576,2261,2221],{"className":2262},[619],[576,2264],{"className":2265,"style":1724},[708],[576,2267,2269,2275],{"className":2268},[619],[576,2270,2272],{"className":2271},[619,2015],[576,2273,1993],{"className":2274},[619],[576,2276,2278],{"className":2277},[738],[576,2279,2281],{"className":2280},[742],[576,2282,2284],{"className":2283},[746],[576,2285,2287],{"className":2286,"style":723},[750],[576,2288,2289,2292],{"style":753},[576,2290],{"className":2291,"style":758},[757],[576,2293,2295],{"className":2294},[762,763,764,765],[576,2296,689],{"className":2297},[619,765],":",[576,2300,2302],{"className":2301},[1283],[576,2303,2305,2372],{"className":2304},[579],[576,2306,2308],{"className":2307},[583],[585,2309,2310],{"xmlns":587,"display":1292},[589,2311,2312,2369],{},[592,2313,2314,2316,2318,2324,2343,2345,2351,2353,2356,2358,2361,2363],{},[595,2315,929],{},[674,2317,676],{},[933,2319,2320,2322],{},[687,2321,2077],{},[687,2323,940],{},[592,2325,2326,2328,2330,2332,2337,2339,2341],{},[674,2327,1332],{"fence":606},[687,2329,2125],{},[674,2331,1362],{},[1847,2333,2334],{},[687,2335,2336],{},"324",[674,2338,1362],{},[687,2340,2221],{},[674,2342,1341],{"fence":606},[674,2344,676],{},[933,2346,2347,2349],{},[687,2348,2077],{},[687,2350,940],{},[674,2352,1855],{},[687,2354,2355],{},"63",[674,2357,676],{},[687,2359,2360],{},"84",[1988,2362,1990],{},[681,2364,2365,2367],{},[1988,2366,1993],{},[687,2368,940],{},[599,2370,2371],{"encoding":601},"V = \\frac{4}{3} \\left(36 + \\sqrt{324} + 9\\right) = \\frac{4}{3} \\cdot 63 = 84\\,\\text{cm}^3",[576,2373,2375,2393,2563,2640,2658],{"className":2374,"ariaHidden":606},[605],[576,2376,2378,2381,2384,2387,2390],{"className":2377},[610],[576,2379],{"className":2380,"style":615},[614],[576,2382,929],{"className":2383,"style":961},[619,620],[576,2385],{"className":2386,"style":709},[708],[576,2388,676],{"className":2389},[713],[576,2391],{"className":2392,"style":709},[708],[576,2394,2396,2399,2461,2464,2554,2557,2560],{"className":2395},[610],[576,2397],{"className":2398,"style":1407},[614],[576,2400,2402,2405,2458],{"className":2401},[619],[576,2403],{"className":2404},[984,985],[576,2406,2408],{"className":2407},[933],[576,2409,2411,2450],{"className":2410},[742,992],[576,2412,2414,2447],{"className":2413},[746],[576,2415,2417,2428,2436],{"className":2416,"style":1426},[750],[576,2418,2419,2422],{"style":1429},[576,2420],{"className":2421,"style":1006},[757],[576,2423,2425],{"className":2424},[619],[576,2426,940],{"className":2427},[619],[576,2429,2430,2433],{"style":1018},[576,2431],{"className":2432,"style":1006},[757],[576,2434],{"className":2435,"style":1026},[1025],[576,2437,2438,2441],{"style":1449},[576,2439],{"className":2440,"style":1006},[757],[576,2442,2444],{"className":2443},[619],[576,2445,2077],{"className":2446},[619],[576,2448,1046],{"className":2449},[1045],[576,2451,2453],{"className":2452},[746],[576,2454,2456],{"className":2455,"style":1468},[750],[576,2457],{},[576,2459],{"className":2460},[1059,985],[576,2462],{"className":2463,"style":1724},[708],[576,2465,2467,2474,2477,2480,2483,2486,2536,2539,2542,2545,2548],{"className":2466},[1728],[576,2468,2470],{"className":2469,"style":1733},[984,1732],[576,2471,1332],{"className":2472},[1737,2473],"size2",[576,2475,2125],{"className":2476},[619],[576,2478],{"className":2479,"style":961},[708],[576,2481,1362],{"className":2482},[1237],[576,2484],{"className":2485,"style":961},[708],[576,2487,2489],{"className":2488},[619,1892],[576,2490,2492,2527],{"className":2491},[742,992],[576,2493,2495,2524],{"className":2494},[746],[576,2496,2499,2511],{"className":2497,"style":2498},[750],"height:0.9561em;",[576,2500,2502,2505],{"className":2501,"style":1907},[1906],[576,2503],{"className":2504,"style":1006},[757],[576,2506,2508],{"className":2507,"style":1914},[619],[576,2509,2336],{"className":2510},[619],[576,2512,2514,2517],{"style":2513},"top:-2.9161em;",[576,2515],{"className":2516,"style":1006},[757],[576,2518,2520],{"className":2519,"style":1940},[1939],[1942,2521,2522],{"xmlns":1944,"width":1945,"height":1946,"viewBox":1947,"preserveAspectRatio":1948},[1950,2523],{"d":1952},[576,2525,1046],{"className":2526},[1045],[576,2528,2530],{"className":2529},[746],[576,2531,2534],{"className":2532,"style":2533},[750],"height:0.0839em;",[576,2535],{},[576,2537],{"className":2538,"style":961},[708],[576,2540,1362],{"className":2541},[1237],[576,2543],{"className":2544,"style":961},[708],[576,2546,2221],{"className":2547},[619],[576,2549,2551],{"className":2550,"style":1733},[1059,1732],[576,2552,1341],{"className":2553},[1737,2473],[576,2555],{"className":2556,"style":709},[708],[576,2558,676],{"className":2559},[713],[576,2561],{"className":2562,"style":709},[708],[576,2564,2566,2569,2631,2634,2637],{"className":2565},[610],[576,2567],{"className":2568,"style":1407},[614],[576,2570,2572,2575,2628],{"className":2571},[619],[576,2573],{"className":2574},[984,985],[576,2576,2578],{"className":2577},[933],[576,2579,2581,2620],{"className":2580},[742,992],[576,2582,2584,2617],{"className":2583},[746],[576,2585,2587,2598,2606],{"className":2586,"style":1426},[750],[576,2588,2589,2592],{"style":1429},[576,2590],{"className":2591,"style":1006},[757],[576,2593,2595],{"className":2594},[619],[576,2596,940],{"className":2597},[619],[576,2599,2600,2603],{"style":1018},[576,2601],{"className":2602,"style":1006},[757],[576,2604],{"className":2605,"style":1026},[1025],[576,2607,2608,2611],{"style":1449},[576,2609],{"className":2610,"style":1006},[757],[576,2612,2614],{"className":2613},[619],[576,2615,2077],{"className":2616},[619],[576,2618,1046],{"className":2619},[1045],[576,2621,2623],{"className":2622},[746],[576,2624,2626],{"className":2625,"style":1468},[750],[576,2627],{},[576,2629],{"className":2630},[1059,985],[576,2632],{"className":2633,"style":961},[708],[576,2635,1855],{"className":2636},[1237],[576,2638],{"className":2639,"style":961},[708],[576,2641,2643,2646,2649,2652,2655],{"className":2642},[610],[576,2644],{"className":2645,"style":910},[614],[576,2647,2355],{"className":2648},[619],[576,2650],{"className":2651,"style":709},[708],[576,2653,676],{"className":2654},[713],[576,2656],{"className":2657,"style":709},[708],[576,2659,2661,2664,2667,2670],{"className":2660},[610],[576,2662],{"className":2663,"style":1492},[614],[576,2665,2360],{"className":2666},[619],[576,2668],{"className":2669,"style":1724},[708],[576,2671,2673,2679],{"className":2672},[619],[576,2674,2676],{"className":2675},[619,2015],[576,2677,1993],{"className":2678},[619],[576,2680,2682],{"className":2681},[738],[576,2683,2685],{"className":2684},[742],[576,2686,2688],{"className":2687},[746],[576,2689,2691],{"className":2690,"style":1492},[750],[576,2692,2693,2696],{"style":1495},[576,2694],{"className":2695,"style":758},[757],[576,2697,2699],{"className":2698},[762,763,764,765],[576,2700,940],{"className":2701},[619,765],[563,2703,2704,2705,2202,2800,769,2895,2298],{},"Mit ",[576,2706,2708,2735],{"className":2707},[579],[576,2709,2711],{"className":2710},[583],[585,2712,2713],{"xmlns":587},[589,2714,2715,2732],{},[592,2716,2717,2719,2721,2724,2726],{},[595,2718,597],{},[674,2720,676],{},[687,2722,2723],{},"50",[1988,2725,1990],{},[681,2727,2728,2730],{},[1988,2729,1993],{},[687,2731,689],{},[599,2733,2734],{"encoding":601},"G = 50\\,\\text{cm}^2",[576,2736,2738,2756],{"className":2737,"ariaHidden":606},[605],[576,2739,2741,2744,2747,2750,2753],{"className":2740},[610],[576,2742],{"className":2743,"style":615},[614],[576,2745,597],{"className":2746},[619,620],[576,2748],{"className":2749,"style":709},[708],[576,2751,676],{"className":2752},[713],[576,2754],{"className":2755,"style":709},[708],[576,2757,2759,2762,2765,2768],{"className":2758},[610],[576,2760],{"className":2761,"style":723},[614],[576,2763,2723],{"className":2764},[619],[576,2766],{"className":2767,"style":1724},[708],[576,2769,2771,2777],{"className":2770},[619],[576,2772,2774],{"className":2773},[619,2015],[576,2775,1993],{"className":2776},[619],[576,2778,2780],{"className":2779},[738],[576,2781,2783],{"className":2782},[742],[576,2784,2786],{"className":2785},[746],[576,2787,2789],{"className":2788,"style":723},[750],[576,2790,2791,2794],{"style":753},[576,2792],{"className":2793,"style":758},[757],[576,2795,2797],{"className":2796},[762,763,764,765],[576,2798,689],{"className":2799},[619,765],[576,2801,2803,2830],{"className":2802},[579],[576,2804,2806],{"className":2805},[583],[585,2807,2808],{"xmlns":587},[589,2809,2810,2827],{},[592,2811,2812,2814,2816,2819,2821],{},[595,2813,639],{},[674,2815,676],{},[687,2817,2818],{},"8",[1988,2820,1990],{},[681,2822,2823,2825],{},[1988,2824,1993],{},[687,2826,689],{},[599,2828,2829],{"encoding":601},"D = 8\\,\\text{cm}^2",[576,2831,2833,2851],{"className":2832,"ariaHidden":606},[605],[576,2834,2836,2839,2842,2845,2848],{"className":2835},[610],[576,2837],{"className":2838,"style":615},[614],[576,2840,639],{"className":2841,"style":654},[619,620],[576,2843],{"className":2844,"style":709},[708],[576,2846,676],{"className":2847},[713],[576,2849],{"className":2850,"style":709},[708],[576,2852,2854,2857,2860,2863],{"className":2853},[610],[576,2855],{"className":2856,"style":723},[614],[576,2858,2818],{"className":2859},[619],[576,2861],{"className":2862,"style":1724},[708],[576,2864,2866,2872],{"className":2865},[619],[576,2867,2869],{"className":2868},[619,2015],[576,2870,1993],{"className":2871},[619],[576,2873,2875],{"className":2874},[738],[576,2876,2878],{"className":2877},[742],[576,2879,2881],{"className":2880},[746],[576,2882,2884],{"className":2883,"style":723},[750],[576,2885,2886,2889],{"style":753},[576,2887],{"className":2888,"style":758},[757],[576,2890,2892],{"className":2891},[762,763,764,765],[576,2893,689],{"className":2894},[619,765],[576,2896,2898,2920],{"className":2897},[579],[576,2899,2901],{"className":2900},[583],[585,2902,2903],{"xmlns":587},[589,2904,2905,2917],{},[592,2906,2907,2909,2911,2913,2915],{},[595,2908,945],{},[674,2910,676],{},[687,2912,1986],{},[1988,2914,1990],{},[1988,2916,1993],{},[599,2918,2919],{"encoding":601},"h = 6\\,\\text{cm}",[576,2921,2923,2941],{"className":2922,"ariaHidden":606},[605],[576,2924,2926,2929,2932,2935,2938],{"className":2925},[610],[576,2927],{"className":2928,"style":1130},[614],[576,2930,945],{"className":2931},[619,620],[576,2933],{"className":2934,"style":709},[708],[576,2936,676],{"className":2937},[713],[576,2939],{"className":2940,"style":709},[708],[576,2942,2944,2947,2950,2953],{"className":2943},[610],[576,2945],{"className":2946,"style":910},[614],[576,2948,1986],{"className":2949},[619],[576,2951],{"className":2952,"style":1724},[708],[576,2954,2956],{"className":2955},[619,2015],[576,2957,1993],{"className":2958},[619],[576,2960,2962],{"className":2961},[1283],[576,2963,2965,3028],{"className":2964},[579],[576,2966,2968],{"className":2967},[583],[585,2969,2970],{"xmlns":587,"display":1292},[589,2971,2972,3025],{},[592,2973,2974,2976,2978,2984,3003,3005,3007,3009,3012,3014,3017,3019],{},[595,2975,929],{},[674,2977,676],{},[933,2979,2980,2982],{},[687,2981,1986],{},[687,2983,940],{},[592,2985,2986,2988,2990,2992,2997,2999,3001],{},[674,2987,1332],{"fence":606},[687,2989,2723],{},[674,2991,1362],{},[1847,2993,2994],{},[687,2995,2996],{},"400",[674,2998,1362],{},[687,3000,2818],{},[674,3002,1341],{"fence":606},[674,3004,676],{},[687,3006,689],{},[674,3008,1855],{},[687,3010,3011],{},"78",[674,3013,676],{},[687,3015,3016],{},"156",[1988,3018,1990],{},[681,3020,3021,3023],{},[1988,3022,1993],{},[687,3024,940],{},[599,3026,3027],{"encoding":601},"V = \\frac{6}{3} \\left(50 + \\sqrt{400} + 8\\right) = 2 \\cdot 78 = 156\\,\\text{cm}^3",[576,3029,3031,3049,3215,3233,3251],{"className":3030,"ariaHidden":606},[605],[576,3032,3034,3037,3040,3043,3046],{"className":3033},[610],[576,3035],{"className":3036,"style":615},[614],[576,3038,929],{"className":3039,"style":961},[619,620],[576,3041],{"className":3042,"style":709},[708],[576,3044,676],{"className":3045},[713],[576,3047],{"className":3048,"style":709},[708],[576,3050,3052,3055,3117,3120,3206,3209,3212],{"className":3051},[610],[576,3053],{"className":3054,"style":1407},[614],[576,3056,3058,3061,3114],{"className":3057},[619],[576,3059],{"className":3060},[984,985],[576,3062,3064],{"className":3063},[933],[576,3065,3067,3106],{"className":3066},[742,992],[576,3068,3070,3103],{"className":3069},[746],[576,3071,3073,3084,3092],{"className":3072,"style":1426},[750],[576,3074,3075,3078],{"style":1429},[576,3076],{"className":3077,"style":1006},[757],[576,3079,3081],{"className":3080},[619],[576,3082,940],{"className":3083},[619],[576,3085,3086,3089],{"style":1018},[576,3087],{"className":3088,"style":1006},[757],[576,3090],{"className":3091,"style":1026},[1025],[576,3093,3094,3097],{"style":1449},[576,3095],{"className":3096,"style":1006},[757],[576,3098,3100],{"className":3099},[619],[576,3101,1986],{"className":3102},[619],[576,3104,1046],{"className":3105},[1045],[576,3107,3109],{"className":3108},[746],[576,3110,3112],{"className":3111,"style":1468},[750],[576,3113],{},[576,3115],{"className":3116},[1059,985],[576,3118],{"className":3119,"style":1724},[708],[576,3121,3123,3129,3132,3135,3138,3141,3188,3191,3194,3197,3200],{"className":3122},[1728],[576,3124,3126],{"className":3125,"style":1733},[984,1732],[576,3127,1332],{"className":3128},[1737,2473],[576,3130,2723],{"className":3131},[619],[576,3133],{"className":3134,"style":961},[708],[576,3136,1362],{"className":3137},[1237],[576,3139],{"className":3140,"style":961},[708],[576,3142,3144],{"className":3143},[619,1892],[576,3145,3147,3180],{"className":3146},[742,992],[576,3148,3150,3177],{"className":3149},[746],[576,3151,3153,3165],{"className":3152,"style":2498},[750],[576,3154,3156,3159],{"className":3155,"style":1907},[1906],[576,3157],{"className":3158,"style":1006},[757],[576,3160,3162],{"className":3161,"style":1914},[619],[576,3163,2996],{"className":3164},[619],[576,3166,3167,3170],{"style":2513},[576,3168],{"className":3169,"style":1006},[757],[576,3171,3173],{"className":3172,"style":1940},[1939],[1942,3174,3175],{"xmlns":1944,"width":1945,"height":1946,"viewBox":1947,"preserveAspectRatio":1948},[1950,3176],{"d":1952},[576,3178,1046],{"className":3179},[1045],[576,3181,3183],{"className":3182},[746],[576,3184,3186],{"className":3185,"style":2533},[750],[576,3187],{},[576,3189],{"className":3190,"style":961},[708],[576,3192,1362],{"className":3193},[1237],[576,3195],{"className":3196,"style":961},[708],[576,3198,2818],{"className":3199},[619],[576,3201,3203],{"className":3202,"style":1733},[1059,1732],[576,3204,1341],{"className":3205},[1737,2473],[576,3207],{"className":3208,"style":709},[708],[576,3210,676],{"className":3211},[713],[576,3213],{"className":3214,"style":709},[708],[576,3216,3218,3221,3224,3227,3230],{"className":3217},[610],[576,3219],{"className":3220,"style":910},[614],[576,3222,689],{"className":3223},[619],[576,3225],{"className":3226,"style":961},[708],[576,3228,1855],{"className":3229},[1237],[576,3231],{"className":3232,"style":961},[708],[576,3234,3236,3239,3242,3245,3248],{"className":3235},[610],[576,3237],{"className":3238,"style":910},[614],[576,3240,3011],{"className":3241},[619],[576,3243],{"className":3244,"style":709},[708],[576,3246,676],{"className":3247},[713],[576,3249],{"className":3250,"style":709},[708],[576,3252,3254,3257,3260,3263],{"className":3253},[610],[576,3255],{"className":3256,"style":1492},[614],[576,3258,3016],{"className":3259},[619],[576,3261],{"className":3262,"style":1724},[708],[576,3264,3266,3272],{"className":3265},[619],[576,3267,3269],{"className":3268},[619,2015],[576,3270,1993],{"className":3271},[619],[576,3273,3275],{"className":3274},[738],[576,3276,3278],{"className":3277},[742],[576,3279,3281],{"className":3280},[746],[576,3282,3284],{"className":3283,"style":1492},[750],[576,3285,3286,3289],{"style":1495},[576,3287],{"className":3288,"style":758},[757],[576,3290,3292],{"className":3291},[762,763,764,765],[576,3293,940],{"className":3294},[619,765],[558,3296,3298],{"id":3297},"typische-fehler","Typische Fehler",[3300,3301,3302,3441,3501],"ul",{},[3303,3304,3305,3306,3440],"li",{},"Den Mittelwert ",[576,3307,3309,3337],{"className":3308},[579],[576,3310,3312],{"className":3311},[583],[585,3313,3314],{"xmlns":587},[589,3315,3316,3334],{},[592,3317,3318,3330,3332],{},[933,3319,3320,3328],{},[592,3321,3322,3324,3326],{},[595,3323,597],{},[674,3325,1362],{},[595,3327,639],{},[687,3329,689],{},[674,3331,1855],{},[595,3333,945],{},[599,3335,3336],{"encoding":601},"\\frac{G + D}{2} \\cdot h",[576,3338,3340,3431],{"className":3339,"ariaHidden":606},[605],[576,3341,3343,3347,3422,3425,3428],{"className":3342},[610],[576,3344],{"className":3345,"style":3346},[614],"height:1.2173em;vertical-align:-0.345em;",[576,3348,3350,3353,3419],{"className":3349},[619],[576,3351],{"className":3352},[984,985],[576,3354,3356],{"className":3355},[933],[576,3357,3359,3411],{"className":3358},[742,992],[576,3360,3362,3408],{"className":3361},[746],[576,3363,3366,3380,3388],{"className":3364,"style":3365},[750],"height:0.8723em;",[576,3367,3368,3371],{"style":1002},[576,3369],{"className":3370,"style":1006},[757],[576,3372,3374],{"className":3373},[762,763,764,765],[576,3375,3377],{"className":3376},[619,765],[576,3378,689],{"className":3379},[619,765],[576,3381,3382,3385],{"style":1018},[576,3383],{"className":3384,"style":1006},[757],[576,3386],{"className":3387,"style":1026},[1025],[576,3389,3390,3393],{"style":1029},[576,3391],{"className":3392,"style":1006},[757],[576,3394,3396],{"className":3395},[762,763,764,765],[576,3397,3399,3402,3405],{"className":3398},[619,765],[576,3400,597],{"className":3401},[619,620,765],[576,3403,1362],{"className":3404},[1237,765],[576,3406,639],{"className":3407,"style":654},[619,620,765],[576,3409,1046],{"className":3410},[1045],[576,3412,3414],{"className":3413},[746],[576,3415,3417],{"className":3416,"style":1053},[750],[576,3418],{},[576,3420],{"className":3421},[1059,985],[576,3423],{"className":3424,"style":961},[708],[576,3426,1855],{"className":3427},[1237],[576,3429],{"className":3430,"style":961},[708],[576,3432,3434,3437],{"className":3433},[610],[576,3435],{"className":3436,"style":1130},[614],[576,3438,945],{"className":3439},[619,620]," nehmen. Das ergibt zu viel, denn der Stumpf ist kein Prisma.",[3303,3442,3443,3444,769,3472,3500],{},"Seitenlängen statt Flächen für ",[576,3445,3447,3460],{"className":3446},[579],[576,3448,3450],{"className":3449},[583],[585,3451,3452],{"xmlns":587},[589,3453,3454,3458],{},[592,3455,3456],{},[595,3457,597],{},[599,3459,597],{"encoding":601},[576,3461,3463],{"className":3462,"ariaHidden":606},[605],[576,3464,3466,3469],{"className":3465},[610],[576,3467],{"className":3468,"style":615},[614],[576,3470,597],{"className":3471},[619,620],[576,3473,3475,3488],{"className":3474},[579],[576,3476,3478],{"className":3477},[583],[585,3479,3480],{"xmlns":587},[589,3481,3482,3486],{},[592,3483,3484],{},[595,3485,639],{},[599,3487,639],{"encoding":601},[576,3489,3491],{"className":3490,"ariaHidden":606},[605],[576,3492,3494,3497],{"className":3493},[610],[576,3495],{"className":3496,"style":615},[614],[576,3498,639],{"className":3499,"style":654},[619,620]," einsetzen.",[3303,3502,3503],{},"Die schräge Kantenlänge statt der senkrechten Höhe verwenden.",{"title":3505,"searchDepth":3506,"depth":3506,"links":3507},"",2,[3508,3509,3510,3511],{"id":560,"depth":3506,"text":561},{"id":1069,"depth":3506,"text":1070},{"id":1967,"depth":3506,"text":1968},{"id":3297,"depth":3506,"text":3298},[3513,3516,3519,3521],{"lhs":3514,"rhs":3515},"h\u002F3*(a^2 + sqrt(a^2*b^2) + b^2)","(a^2*(h*a\u002F(a - b)) - b^2*(h*a\u002F(a - b) - h))\u002F3",{"lhs":3517,"rhs":3518},"h\u002F3*(G + sqrt(G*0) + 0)","1\u002F3*G*h",{"lhs":3520,"rhs":2360},"4\u002F3*(36 + sqrt(36*9) + 9)",{"lhs":3522,"rhs":3016},"6\u002F3*(50 + sqrt(50*8) + 8)","D \\text{ parallel und ähnlich zu } G","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>D\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">D\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0278em;\">D\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">parallel und ähnlich zu\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>G\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">G\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">G\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md",{"caption":3528,"x":3529,"y":3532,"items":3535},"Pyramidenstumpf mit Grundfläche G, paralleler Deckfläche D und der Höhe h",[3530,3531],-0.6,4.7,[3533,3534],-0.65,3.35,[3536,3550,3563,3567,3570,3573,3576,3579,3582,3585,3588,3591,3594,3597,3600,3606,3612,3615,3617,3621,3625],{"type":3537,"points":3538,"fill":3548,"style":3549},"polygon",[3539,3541,3543,3546],[3540,3540],0,[3542,3540],2.8,[3544,3545],4.2,0.98,[3547,3545],1.4,true,"dashed",{"type":3537,"points":3551,"fill":3548,"style":3562},[3552,3555,3557,3560],[3553,3554],0.975,2.328,[3556,3554],2.475,[3558,3559],3.225,2.853,[3561,3559],1.725,"muted",{"type":3564,"from":3565,"to":3566},"segment",[3540,3540],[3542,3540],{"type":3564,"from":3568,"to":3569},[3542,3540],[3544,3545],{"type":3564,"from":3571,"to":3572,"style":3549},[3544,3545],[3547,3545],{"type":3564,"from":3574,"to":3575,"style":3549},[3547,3545],[3540,3540],{"type":3564,"from":3577,"to":3578,"style":3549},[3547,3545],[3561,3559],{"type":3564,"from":3580,"to":3581},[3540,3540],[3553,3554],{"type":3564,"from":3583,"to":3584},[3542,3540],[3556,3554],{"type":3564,"from":3586,"to":3587},[3544,3545],[3558,3559],{"type":3564,"from":3589,"to":3590},[3553,3554],[3556,3554],{"type":3564,"from":3592,"to":3593},[3556,3554],[3558,3559],{"type":3564,"from":3595,"to":3596},[3558,3559],[3561,3559],{"type":3564,"from":3598,"to":3599},[3561,3559],[3553,3554],{"type":3564,"from":3601,"to":3604,"style":3549},[3602,3603],2.1,0.49,[3602,3605],2.59,{"type":3607,"at":3608,"from":3609,"to":3610},"rightAngle",[3602,3603],[3602,3605],[3611,3603],3.5,{"type":3613,"at":3614},"point",[3602,3603],{"type":3613,"at":3616},[3602,3605],{"type":3618,"at":3619,"text":945},"label",[3620,3547],1.85,{"type":3618,"at":3622,"text":597},[3623,3624],1.25,0.42,{"type":3618,"at":3626,"text":639},[3627,3628],2.55,2.61,"\u003Csvg 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y1=\"160.8\" x2=\"230.4\" y2=\"113.76\" class=\"fig-main\"\u002F>\u003Cline x1=\"230.4\" y1=\"113.76\" x2=\"96\" y2=\"113.76\" class=\"fig-dashed\"\u002F>\u003Cline x1=\"96\" y1=\"113.76\" x2=\"28.8\" y2=\"160.8\" class=\"fig-dashed\"\u002F>\u003Cline x1=\"96\" y1=\"113.76\" x2=\"111.6\" y2=\"23.86\" class=\"fig-dashed\"\u002F>\u003Cline x1=\"28.8\" y1=\"160.8\" x2=\"75.6\" y2=\"49.06\" class=\"fig-main\"\u002F>\u003Cline x1=\"163.2\" y1=\"160.8\" x2=\"147.6\" y2=\"49.06\" class=\"fig-main\"\u002F>\u003Cline x1=\"230.4\" y1=\"113.76\" x2=\"183.6\" y2=\"23.86\" class=\"fig-main\"\u002F>\u003Cline x1=\"75.6\" y1=\"49.06\" x2=\"147.6\" y2=\"49.06\" class=\"fig-main\"\u002F>\u003Cline x1=\"147.6\" y1=\"49.06\" x2=\"183.6\" y2=\"23.86\" class=\"fig-main\"\u002F>\u003Cline x1=\"183.6\" y1=\"23.86\" x2=\"111.6\" y2=\"23.86\" class=\"fig-main\"\u002F>\u003Cline x1=\"111.6\" y1=\"23.86\" x2=\"75.6\" y2=\"49.06\" class=\"fig-main\"\u002F>\u003Cline x1=\"129.6\" y1=\"137.28\" x2=\"129.6\" y2=\"36.48\" class=\"fig-dashed\"\u002F>\u003Cpath d=\"M 129.6 125.28 L 141.6 125.28 L 141.6 137.28\" class=\"fig-mark\"\u002F>\u003Ccircle cx=\"135.6\" cy=\"131.28\" r=\"1.5\" class=\"fig-dot\"\u002F>\u003Ccircle cx=\"129.6\" cy=\"137.28\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ccircle cx=\"129.6\" cy=\"36.48\" r=\"3\" class=\"fig-dot\"\u002F>\u003Ctext x=\"117.6\" y=\"93.6\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">h\u003C\u002Ftext>\u003Ctext x=\"88.8\" y=\"140.64\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">G\u003C\u002Ftext>\u003Ctext x=\"151.2\" y=\"35.52\" text-anchor=\"middle\" dominant-baseline=\"middle\" class=\"fig-label\">D\u003C\u002Ftext>\u003C\u002Fsvg>","pyramid-frustum-volume","V = \\frac{h}{3} \\left(G + \\sqrt{G \\cdot D} + D\\right)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>V\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>h\u003C\u002Fmi>\u003Cmn>3\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmi>G\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmsqrt>\u003Cmrow>\u003Cmi>G\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>D\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsqrt>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>D\u003C\u002Fmi>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">V = \\frac{h}{3} \\left(G + \\sqrt{G \\cdot D} + D\\right)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.2222em;\">V\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.0574em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.3714em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">3\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">h\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size2\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">G\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" 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Volumenverhältnis ähnlicher Figuren",{"stem":3668,"title":3669,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fvolumen-kegelstumpf","Volumen eines Kegelstumpfs",{"stem":3671,"title":3672,"category":247},"de\u002Fformulas\u002Fmath\u002Fgeometry\u002Fvolumen-pyramide","Volumen einer Pyramide",1793824270872]