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",[586,934,936,955],{"className":935},[589],[586,937,939],{"className":938},[593],[595,940,941],{"xmlns":597},[599,942,943,952],{},[602,944,945,948,950],{},[605,946,947],{},"10",[900,949,902],{},[900,951,905],{},[617,953,954],{"encoding":619},"10\\,\\text{cm}",[586,956,958],{"className":957,"ariaHidden":625},[624],[586,959,961,964,967,970],{"className":960},[629],[586,962],{"className":963,"style":634},[633],[586,965,947],{"className":966},[638],[586,968],{"className":969,"style":924},[642],[586,971,973],{"className":972},[638,928],[586,974,905],{"className":975},[638],":",[586,978,981],{"className":979},[980],"katex-display",[586,982,984,1061],{"className":983},[589],[586,985,987],{"className":986},[593],[595,988,990],{"xmlns":597,"display":989},"block",[599,991,992,1058],{},[602,993,994,996,998,1006,1008,1010,1012,1014,1016,1019,1021,1028,1031,1034,1036,1038,1040,1043,1045,1047,1049,1051,1054,1056],{},[613,995,615],{},[609,997,745],{},[999,1000,1001,1004],"mfrac",{},[605,1002,1003],{},"1",[605,1005,607],{},[609,1007,611],{},[605,1009,838],{},[609,1011,611],{},[605,1013,868],{},[609,1015,745],{},[605,1017,1018],{},"6",[900,1020,902],{},[1022,1023,1024,1026],"msup",{},[900,1025,905],{},[605,1027,607],{},[609,1029,1030],{"separator":625},",",[642,1032],{"width":1033},"2em",[613,1035,680],{},[609,1037,745],{},[605,1039,838],{},[609,1041,1042],{},"+",[605,1044,868],{},[609,1046,1042],{},[605,1048,898],{},[609,1050,745],{},[605,1052,1053],{},"12",[900,1055,902],{},[900,1057,905],{},[617,1059,1060],{"encoding":619},"G = \\frac{1}{2} \\cdot 3 \\cdot 4 = 6\\,\\text{cm}^2, \\qquad u = 3 + 4 + 5 = 12\\,\\text{cm}",[586,1062,1064,1082,1178,1196,1214,1290,1309,1327,1345],{"className":1063,"ariaHidden":625},[624],[586,1065,1067,1070,1073,1076,1079],{"className":1066},[629],[586,1068],{"className":1069,"style":657},[633],[586,1071,615],{"className":1072},[638,661],[586,1074],{"className":1075,"style":771},[642],[586,1077,745],{"className":1078},[775],[586,1080],{"className":1081,"style":771},[642],[586,1083,1085,1089,1169,1172,1175],{"className":1084},[629],[586,1086],{"className":1087,"style":1088},[633],"height:2.0074em;vertical-align:-0.686em;",[586,1090,1092,1097,1165],{"className":1091},[638],[586,1093],{"className":1094},[1095,1096],"mopen","nulldelimiter",[586,1098,1100],{"className":1099},[999],[586,1101,1105,1156],{"className":1102},[1103,1104],"vlist-t","vlist-t2",[586,1106,1109,1151],{"className":1107},[1108],"vlist-r",[586,1110,1114,1128,1139],{"className":1111,"style":1113},[1112],"vlist","height:1.3214em;",[586,1115,1117,1122],{"style":1116},"top:-2.314em;",[586,1118],{"className":1119,"style":1121},[1120],"pstrut","height:3em;",[586,1123,1125],{"className":1124},[638],[586,1126,607],{"className":1127},[638],[586,1129,1131,1134],{"style":1130},"top:-3.23em;",[586,1132],{"className":1133,"style":1121},[1120],[586,1135],{"className":1136,"style":1138},[1137],"frac-line","border-bottom-width:0.04em;",[586,1140,1142,1145],{"style":1141},"top:-3.677em;",[586,1143],{"className":1144,"style":1121},[1120],[586,1146,1148],{"className":1147},[638],[586,1149,1003],{"className":1150},[638],[586,1152,1155],{"className":1153},[1154],"vlist-s","​",[586,1157,1159],{"className":1158},[1108],[586,1160,1163],{"className":1161,"style":1162},[1112],"height:0.686em;",[586,1164],{},[586,1166],{"className":1167},[1168,1096],"mclose",[586,1170],{"className":1171,"style":643},[642],[586,1173,611],{"className":1174},[647],[586,1176],{"className":1177,"style":643},[642],[586,1179,1181,1184,1187,1190,1193],{"className":1180},[629],[586,1182],{"className":1183,"style":634},[633],[586,1185,838],{"className":1186},[638],[586,1188],{"className":1189,"style":643},[642],[586,1191,611],{"className":1192},[647],[586,1194],{"className":1195,"style":643},[642],[586,1197,1199,1202,1205,1208,1211],{"className":1198},[629],[586,1200],{"className":1201,"style":634},[633],[586,1203,868],{"className":1204},[638],[586,1206],{"className":1207,"style":771},[642],[586,1209,745],{"className":1210},[775],[586,1212],{"className":1213,"style":771},[642],[586,1215,1217,1221,1224,1227,1267,1271,1275,1278,1281,1284,1287],{"className":1216},[629],[586,1218],{"className":1219,"style":1220},[633],"height:1.0585em;vertical-align:-0.1944em;",[586,1222,1018],{"className":1223},[638],[586,1225],{"className":1226,"style":924},[642],[586,1228,1230,1236],{"className":1229},[638],[586,1231,1233],{"className":1232},[638,928],[586,1234,905],{"className":1235},[638],[586,1237,1240],{"className":1238},[1239],"msupsub",[586,1241,1243],{"className":1242},[1103],[586,1244,1246],{"className":1245},[1108],[586,1247,1250],{"className":1248,"style":1249},[1112],"height:0.8641em;",[586,1251,1253,1257],{"style":1252},"top:-3.113em;margin-right:0.05em;",[586,1254],{"className":1255,"style":1256},[1120],"height:2.7em;",[586,1258,1264],{"className":1259},[1260,1261,1262,1263],"sizing","reset-size6","size3","mtight",[586,1265,607],{"className":1266},[638,1263],[586,1268,1030],{"className":1269},[1270],"mpunct",[586,1272],{"className":1273,"style":1274},[642],"margin-right:2em;",[586,1276],{"className":1277,"style":924},[642],[586,1279,680],{"className":1280},[638,661],[586,1282],{"className":1283,"style":771},[642],[586,1285,745],{"className":1286},[775],[586,1288],{"className":1289,"style":771},[642],[586,1291,1293,1297,1300,1303,1306],{"className":1292},[629],[586,1294],{"className":1295,"style":1296},[633],"height:0.7278em;vertical-align:-0.0833em;",[586,1298,838],{"className":1299},[638],[586,1301],{"className":1302,"style":643},[642],[586,1304,1042],{"className":1305},[647],[586,1307],{"className":1308,"style":643},[642],[586,1310,1312,1315,1318,1321,1324],{"className":1311},[629],[586,1313],{"className":1314,"style":1296},[633],[586,1316,868],{"className":1317},[638],[586,1319],{"className":1320,"style":643},[642],[586,1322,1042],{"className":1323},[647],[586,1325],{"className":1326,"style":643},[642],[586,1328,1330,1333,1336,1339,1342],{"className":1329},[629],[586,1331],{"className":1332,"style":634},[633],[586,1334,898],{"className":1335},[638],[586,1337],{"className":1338,"style":771},[642],[586,1340,745],{"className":1341},[775],[586,1343],{"className":1344,"style":771},[642],[586,1346,1348,1351,1354,1357],{"className":1347},[629],[586,1349],{"className":1350,"style":634},[633],[586,1352,1053],{"className":1353},[638],[586,1355],{"className":1356,"style":924},[642],[586,1358,1360],{"className":1359},[638,928],[586,1361,905],{"className":1362},[638],[586,1364,1366],{"className":1365},[980],[586,1367,1369,1413],{"className":1368},[589],[586,1370,1372],{"className":1371},[593],[595,1373,1374],{"xmlns":597,"display":989},[599,1375,1376,1410],{},[602,1377,1378,1381,1383,1385,1387,1389,1391,1393,1395,1397,1399,1402,1404],{},[613,1379,1380],{},"O",[609,1382,745],{},[605,1384,607],{},[609,1386,611],{},[605,1388,1018],{},[609,1390,1042],{},[605,1392,1053],{},[609,1394,611],{},[605,1396,947],{},[609,1398,745],{},[605,1400,1401],{},"132",[900,1403,902],{},[1022,1405,1406,1408],{},[900,1407,905],{},[605,1409,607],{},[617,1411,1412],{"encoding":619},"O = 2 \\cdot 6 + 12 \\cdot 10 = 132\\,\\text{cm}^2",[586,1414,1416,1435,1453,1471,1489,1507],{"className":1415,"ariaHidden":625},[624],[586,1417,1419,1422,1426,1429,1432],{"className":1418},[629],[586,1420],{"className":1421,"style":657},[633],[586,1423,1380],{"className":1424,"style":1425},[638,661],"margin-right:0.0278em;",[586,1427],{"className":1428,"style":771},[642],[586,1430,745],{"className":1431},[775],[586,1433],{"className":1434,"style":771},[642],[586,1436,1438,1441,1444,1447,1450],{"className":1437},[629],[586,1439],{"className":1440,"style":634},[633],[586,1442,607],{"className":1443},[638],[586,1445],{"className":1446,"style":643},[642],[586,1448,611],{"className":1449},[647],[586,1451],{"className":1452,"style":643},[642],[586,1454,1456,1459,1462,1465,1468],{"className":1455},[629],[586,1457],{"className":1458,"style":1296},[633],[586,1460,1018],{"className":1461},[638],[586,1463],{"className":1464,"style":643},[642],[586,1466,1042],{"className":1467},[647],[586,1469],{"className":1470,"style":643},[642],[586,1472,1474,1477,1480,1483,1486],{"className":1473},[629],[586,1475],{"className":1476,"style":634},[633],[586,1478,1053],{"className":1479},[638],[586,1481],{"className":1482,"style":643},[642],[586,1484,611],{"className":1485},[647],[586,1487],{"className":1488,"style":643},[642],[586,1490,1492,1495,1498,1501,1504],{"className":1491},[629],[586,1493],{"className":1494,"style":634},[633],[586,1496,947],{"className":1497},[638],[586,1499],{"className":1500,"style":771},[642],[586,1502,745],{"className":1503},[775],[586,1505],{"className":1506,"style":771},[642],[586,1508,1510,1513,1516,1519],{"className":1509},[629],[586,1511],{"className":1512,"style":1249},[633],[586,1514,1401],{"className":1515},[638],[586,1517],{"className":1518,"style":924},[642],[586,1520,1522,1528],{"className":1521},[638],[586,1523,1525],{"className":1524},[638,928],[586,1526,905],{"className":1527},[638],[586,1529,1531],{"className":1530},[1239],[586,1532,1534],{"className":1533},[1103],[586,1535,1537],{"className":1536},[1108],[586,1538,1540],{"className":1539,"style":1249},[1112],[586,1541,1542,1545],{"style":1252},[586,1543],{"className":1544,"style":1256},[1120],[586,1546,1548],{"className":1547},[1260,1261,1262,1263],[586,1549,607],{"className":1550},[638,1263],[563,1552,1553,1554,1632,1633,976],{},"Ein Quader mit ",[586,1555,1557,1584],{"className":1556},[589],[586,1558,1560],{"className":1559},[593],[595,1561,1562],{"xmlns":597},[599,1563,1564,1581],{},[602,1565,1566,1568,1570,1572,1575,1577,1579],{},[605,1567,607],{},[900,1569,902],{},[900,1571,905],{},[609,1573,1574],{},"×",[605,1576,838],{},[900,1578,902],{},[900,1580,905],{},[617,1582,1583],{"encoding":619},"2\\,\\text{cm} \\times 3\\,\\text{cm}",[586,1585,1587,1614],{"className":1586,"ariaHidden":625},[624],[586,1588,1590,1593,1596,1599,1605,1608,1611],{"className":1589},[629],[586,1591],{"className":1592,"style":1296},[633],[586,1594,607],{"className":1595},[638],[586,1597],{"className":1598,"style":924},[642],[586,1600,1602],{"className":1601},[638,928],[586,1603,905],{"className":1604},[638],[586,1606],{"className":1607,"style":643},[642],[586,1609,1574],{"className":1610},[647],[586,1612],{"className":1613,"style":643},[642],[586,1615,1617,1620,1623,1626],{"className":1616},[629],[586,1618],{"className":1619,"style":634},[633],[586,1621,838],{"className":1622},[638],[586,1624],{"className":1625,"style":924},[642],[586,1627,1629],{"className":1628},[638,928],[586,1630,905],{"className":1631},[638]," als Grundfläche und der Höhe ",[586,1634,1636,1654],{"className":1635},[589],[586,1637,1639],{"className":1638},[593],[595,1640,1641],{"xmlns":597},[599,1642,1643,1651],{},[602,1644,1645,1647,1649],{},[605,1646,868],{},[900,1648,902],{},[900,1650,905],{},[617,1652,1653],{"encoding":619},"4\\,\\text{cm}",[586,1655,1657],{"className":1656,"ariaHidden":625},[624],[586,1658,1660,1663,1666,1669],{"className":1659},[629],[586,1661],{"className":1662,"style":634},[633],[586,1664,868],{"className":1665},[638],[586,1667],{"className":1668,"style":924},[642],[586,1670,1672],{"className":1671},[638,928],[586,1673,905],{"className":1674},[638],[586,1676,1678],{"className":1677},[980],[586,1679,1681,1724],{"className":1680},[589],[586,1682,1684],{"className":1683},[593],[595,1685,1686],{"xmlns":597,"display":989},[599,1687,1688,1721],{},[602,1689,1690,1692,1694,1696,1698,1700,1702,1704,1706,1708,1710,1713,1715],{},[613,1691,1380],{},[609,1693,745],{},[605,1695,607],{},[609,1697,611],{},[605,1699,1018],{},[609,1701,1042],{},[605,1703,947],{},[609,1705,611],{},[605,1707,868],{},[609,1709,745],{},[605,1711,1712],{},"52",[900,1714,902],{},[1022,1716,1717,1719],{},[900,1718,905],{},[605,1720,607],{},[617,1722,1723],{"encoding":619},"O = 2 \\cdot 6 + 10 \\cdot 4 = 52\\,\\text{cm}^2",[586,1725,1727,1745,1763,1781,1799,1817],{"className":1726,"ariaHidden":625},[624],[586,1728,1730,1733,1736,1739,1742],{"className":1729},[629],[586,1731],{"className":1732,"style":657},[633],[586,1734,1380],{"className":1735,"style":1425},[638,661],[586,1737],{"className":1738,"style":771},[642],[586,1740,745],{"className":1741},[775],[586,1743],{"className":1744,"style":771},[642],[586,1746,1748,1751,1754,1757,1760],{"className":1747},[629],[586,1749],{"className":1750,"style":634},[633],[586,1752,607],{"className":1753},[638],[586,1755],{"className":1756,"style":643},[642],[586,1758,611],{"className":1759},[647],[586,1761],{"className":1762,"style":643},[642],[586,1764,1766,1769,1772,1775,1778],{"className":1765},[629],[586,1767],{"className":1768,"style":1296},[633],[586,1770,1018],{"className":1771},[638],[586,1773],{"className":1774,"style":643},[642],[586,1776,1042],{"className":1777},[647],[586,1779],{"className":1780,"style":643},[642],[586,1782,1784,1787,1790,1793,1796],{"className":1783},[629],[586,1785],{"className":1786,"style":634},[633],[586,1788,947],{"className":1789},[638],[586,1791],{"className":1792,"style":643},[642],[586,1794,611],{"className":1795},[647],[586,1797],{"className":1798,"style":643},[642],[586,1800,1802,1805,1808,1811,1814],{"className":1801},[629],[586,1803],{"className":1804,"style":634},[633],[586,1806,868],{"className":1807},[638],[586,1809],{"className":1810,"style":771},[642],[586,1812,745],{"className":1813},[775],[586,1815],{"className":1816,"style":771},[642],[586,1818,1820,1823,1826,1829],{"className":1819},[629],[586,1821],{"className":1822,"style":1249},[633],[586,1824,1712],{"className":1825},[638],[586,1827],{"className":1828,"style":924},[642],[586,1830,1832,1838],{"className":1831},[638],[586,1833,1835],{"className":1834},[638,928],[586,1836,905],{"className":1837},[638],[586,1839,1841],{"className":1840},[1239],[586,1842,1844],{"className":1843},[1103],[586,1845,1847],{"className":1846},[1108],[586,1848,1850],{"className":1849,"style":1249},[1112],[586,1851,1852,1855],{"style":1252},[586,1853],{"className":1854,"style":1256},[1120],[586,1856,1858],{"className":1857},[1260,1261,1262,1263],[586,1859,607],{"className":1860},[638,1263],[563,1862,1863,1864,2077],{},"Das stimmt mit der Quaderformel ",[586,1865,1867,1930],{"className":1866},[589],[586,1868,1870],{"className":1869},[593],[595,1871,1872],{"xmlns":597},[599,1873,1874,1927],{},[602,1875,1876,1878,1882,1885,1888,1890,1892,1895,1897,1899,1901,1904,1906,1908,1910,1912,1914,1917,1919,1921,1923,1925],{},[605,1877,607],{},[609,1879,1881],{"stretchy":1880},"false","(",[613,1883,1884],{},"a",[613,1886,1887],{},"b",[609,1889,1042],{},[613,1891,1884],{},[613,1893,1894],{},"c",[609,1896,1042],{},[613,1898,1887],{},[613,1900,1894],{},[609,1902,1903],{"stretchy":1880},")",[609,1905,745],{},[605,1907,607],{},[609,1909,1881],{"stretchy":1880},[605,1911,1018],{},[609,1913,1042],{},[605,1915,1916],{},"8",[609,1918,1042],{},[605,1920,1053],{},[609,1922,1903],{"stretchy":1880},[609,1924,745],{},[605,1926,1712],{},[617,1928,1929],{"encoding":619},"2(ab + ac + bc) = 2(6 + 8 + 12) = 52",[586,1931,1933,1959,1981,2005,2029,2047,2068],{"className":1932,"ariaHidden":625},[624],[586,1934,1936,1940,1943,1946,1950,1953,1956],{"className":1935},[629],[586,1937],{"className":1938,"style":1939},[633],"height:1em;vertical-align:-0.25em;",[586,1941,607],{"className":1942},[638],[586,1944,1881],{"className":1945},[1095],[586,1947,1949],{"className":1948},[638,661],"ab",[586,1951],{"className":1952,"style":643},[642],[586,1954,1042],{"className":1955},[647],[586,1957],{"className":1958,"style":643},[642],[586,1960,1962,1966,1969,1972,1975,1978],{"className":1961},[629],[586,1963],{"className":1964,"style":1965},[633],"height:0.6667em;vertical-align:-0.0833em;",[586,1967,1884],{"className":1968},[638,661],[586,1970,1894],{"className":1971},[638,661],[586,1973],{"className":1974,"style":643},[642],[586,1976,1042],{"className":1977},[647],[586,1979],{"className":1980,"style":643},[642],[586,1982,1984,1987,1990,1993,1996,1999,2002],{"className":1983},[629],[586,1985],{"className":1986,"style":1939},[633],[586,1988,1887],{"className":1989},[638,661],[586,1991,1894],{"className":1992},[638,661],[586,1994,1903],{"className":1995},[1168],[586,1997],{"className":1998,"style":771},[642],[586,2000,745],{"className":2001},[775],[586,2003],{"className":2004,"style":771},[642],[586,2006,2008,2011,2014,2017,2020,2023,2026],{"className":2007},[629],[586,2009],{"className":2010,"style":1939},[633],[586,2012,607],{"className":2013},[638],[586,2015,1881],{"className":2016},[1095],[586,2018,1018],{"className":2019},[638],[586,2021],{"className":2022,"style":643},[642],[586,2024,1042],{"className":2025},[647],[586,2027],{"className":2028,"style":643},[642],[586,2030,2032,2035,2038,2041,2044],{"className":2031},[629],[586,2033],{"className":2034,"style":1296},[633],[586,2036,1916],{"className":2037},[638],[586,2039],{"className":2040,"style":643},[642],[586,2042,1042],{"className":2043},[647],[586,2045],{"className":2046,"style":643},[642],[586,2048,2050,2053,2056,2059,2062,2065],{"className":2049},[629],[586,2051],{"className":2052,"style":1939},[633],[586,2054,1053],{"className":2055},[638],[586,2057,1903],{"className":2058},[1168],[586,2060],{"className":2061,"style":771},[642],[586,2063,745],{"className":2064},[775],[586,2066],{"className":2067,"style":771},[642],[586,2069,2071,2074],{"className":2070},[629],[586,2072],{"className":2073,"style":634},[633],[586,2075,1712],{"className":2076},[638]," überein.",[558,2079,2081],{"id":2080},"typische-fehler","Typische Fehler",[579,2083,2084,2087,2090],{},[582,2085,2086],{},"Grund- oder Deckfläche nur einmal zählen.",[582,2088,2089],{},"Beim Dreiecksprisma für den Umfang nur die beiden Katheten addieren und die Hypotenuse vergessen.",[582,2091,2092],{},"Die Höhe des Prismas mit der Höhe des Grundflächen-Dreiecks verwechseln.",{"title":2094,"searchDepth":2095,"depth":2095,"links":2096},"",2,[2097,2098,2099],{"id":560,"depth":2095,"text":561},{"id":819,"depth":2095,"text":820},{"id":2080,"depth":2095,"text":2081},[2101,2104,2106,2108,2110,2112],{"lhs":2102,"rhs":2103},"2*a*b + 2*(a + b)*c","2*(a*b + a*c + b*c)",{"lhs":2105,"rhs":1018},"1\u002F2*3*4",{"lhs":2107,"rhs":1053},"3 + 4 + 5",{"lhs":2109,"rhs":1401},"2*6 + 12*10",{"lhs":2111,"rhs":1712},"2*(2*3) + (2*2 + 2*3)*4",{"lhs":2113,"rhs":1712},"2*(2*3 + 2*4 + 3*4)","\\text{gerades Prisma}","\u003Cspan class=\"katex\">gerades Prisma\u003C\u002Fspan>",null,"md",{"caption":2119,"x":2120,"y":2123,"items":2125},"Gerades Dreiecksprisma: Grund- und Deckfläche G, dazwischen der Mantel aus Rechtecken mit der Höhe 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