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30\\,\\text{cm}^3",[580,1195,1197,1216,1243,1270,1297],{"className":1196,"ariaHidden":618},[617],[580,1198,1200,1204,1207,1210,1213],{"className":1199},[622],[580,1201],{"className":1202,"style":1203},[626],"height:0.6833em;",[580,1205,1153],{"className":1206,"style":688},[631,684],[580,1208],{"className":1209,"style":923},[635],[580,1211,842],{"className":1212},[927],[580,1214],{"className":1215,"style":923},[635],[580,1217,1219,1222,1225,1228,1234,1237,1240],{"className":1218},[622],[580,1220],{"className":1221,"style":627},[626],[580,1223,1017],{"className":1224},[631],[580,1226],{"className":1227,"style":636},[635],[580,1229,1231],{"className":1230},[631,640],[580,1232,608],{"className":1233},[631],[580,1235],{"className":1236,"style":688},[635],[580,1238,664],{"className":1239},[692],[580,1241],{"className":1242,"style":688},[635],[580,1244,1246,1249,1252,1255,1261,1264,1267],{"className":1245},[622],[580,1247],{"className":1248,"style":627},[626],[580,1250,839],{"className":1251},[631],[580,1253],{"className":1254,"style":636},[635],[580,1256,1258],{"className":1257},[631,640],[580,1259,608],{"className":1260},[631],[580,1262],{"className":1263,"style":688},[635],[580,1265,664],{"className":1266},[692],[580,1268],{"className":1269,"style":688},[635],[580,1271,1273,1276,1279,1282,1288,1291,1294],{"className":1272},[622],[580,1274],{"className":1275,"style":627},[626],[580,1277,1104],{"className":1278},[631],[580,1280],{"className":1281,"style":636},[635],[580,1283,1285],{"className":1284},[631,640],[580,1286,608],{"className":1287},[631],[580,1289],{"className":1290,"style":923},[635],[580,1292,842],{"className":1293},[927],[580,1295],{"className":1296,"style":923},[635],[580,1298,1300,1304,1307,1310],{"className":1299},[622],[580,1301],{"className":1302,"style":1303},[626],"height:0.8641em;",[580,1305,1182],{"className":1306},[631],[580,1308],{"className":1309,"style":636},[635],[580,1311,1313,1319],{"className":1312},[631],[580,1314,1316],{"className":1315},[631,640],[580,1317,608],{"className":1318},[631],[580,1320,1322],{"className":1321},[889],[580,1323,1325],{"className":1324},[893],[580,1326,1328],{"className":1327},[897],[580,1329,1331],{"className":1330,"style":1303},[901],[580,1332,1334,1337],{"style":1333},"top:-3.113em;margin-right:0.05em;",[580,1335],{"className":1336,"style":909},[908],[580,1338,1340],{"className":1339},[913,914,915,916],[580,1341,839],{"className":1342},[631,916],[564,1344,1345,1346,1046,1389,1089,1432,1133],{},"Ein Aquarium ist innen ",[580,1347,1349,1368],{"className":1348},[583],[580,1350,1352],{"className":1351},[587],[589,1353,1354],{"xmlns":591},[593,1355,1356,1365],{},[596,1357,1358,1361,1363],{},[599,1359,1360],{},"80",[603,1362,605],{},[603,1364,608],{},[610,1366,1367],{"encoding":612},"80\\,\\text{cm}",[580,1369,1371],{"className":1370,"ariaHidden":618},[617],[580,1372,1374,1377,1380,1383],{"className":1373},[622],[580,1375],{"className":1376,"style":627},[626],[580,1378,1360],{"className":1379},[631],[580,1381],{"className":1382,"style":636},[635],[580,1384,1386],{"className":1385},[631,640],[580,1387,608],{"className":1388},[631],[580,1390,1392,1411],{"className":1391},[583],[580,1393,1395],{"className":1394},[587],[589,1396,1397],{"xmlns":591},[593,1398,1399,1408],{},[596,1400,1401,1404,1406],{},[599,1402,1403],{},"40",[603,1405,605],{},[603,1407,608],{},[610,1409,1410],{"encoding":612},"40\\,\\text{cm}",[580,1412,1414],{"className":1413,"ariaHidden":618},[617],[580,1415,1417,1420,1423,1426],{"className":1416},[622],[580,1418],{"className":1419,"style":627},[626],[580,1421,1403],{"className":1422},[631],[580,1424],{"className":1425,"style":636},[635],[580,1427,1429],{"className":1428},[631,640],[580,1430,608],{"className":1431},[631],[580,1433,1435,1454],{"className":1434},[583],[580,1436,1438],{"className":1437},[587],[589,1439,1440],{"xmlns":591},[593,1441,1442,1451],{},[596,1443,1444,1447,1449],{},[599,1445,1446],{},"50",[603,1448,605],{},[603,1450,608],{},[610,1452,1453],{"encoding":612},"50\\,\\text{cm}",[580,1455,1457],{"className":1456,"ariaHidden":618},[617],[580,1458,1460,1463,1466,1469],{"className":1459},[622],[580,1461],{"className":1462,"style":627},[626],[580,1464,1446],{"className":1465},[631],[580,1467],{"className":1468,"style":636},[635],[580,1470,1472],{"className":1471},[631,640],[580,1473,608],{"className":1474},[631],[580,1476,1478],{"className":1477},[1137],[580,1479,1481,1537],{"className":1480},[583],[580,1482,1484],{"className":1483},[587],[589,1485,1486],{"xmlns":591,"display":1146},[593,1487,1488,1534],{},[596,1489,1490,1492,1494,1496,1498,1500,1502,1504,1506,1508,1510,1512,1514,1516,1518,1521,1523,1526,1528],{},[658,1491,1153],{},[662,1493,842],{},[599,1495,1360],{},[603,1497,605],{},[603,1499,608],{},[662,1501,664],{},[599,1503,1403],{},[603,1505,605],{},[603,1507,608],{},[662,1509,664],{},[599,1511,1446],{},[603,1513,605],{},[603,1515,608],{},[662,1517,842],{},[599,1519,1520],{},"160",[603,1522,605],{},[599,1524,1525],{},"000",[603,1527,605],{},[832,1529,1530,1532],{},[603,1531,608],{},[599,1533,839],{},[610,1535,1536],{"encoding":612},"V = 80\\,\\text{cm} \\cdot 40\\,\\text{cm} \\cdot 50\\,\\text{cm} = 160\\,000\\,\\text{cm}^3",[580,1538,1540,1558,1585,1612,1639],{"className":1539,"ariaHidden":618},[617],[580,1541,1543,1546,1549,1552,1555],{"className":1542},[622],[580,1544],{"className":1545,"style":1203},[626],[580,1547,1153],{"className":1548,"style":688},[631,684],[580,1550],{"className":1551,"style":923},[635],[580,1553,842],{"className":1554},[927],[580,1556],{"className":1557,"style":923},[635],[580,1559,1561,1564,1567,1570,1576,1579,1582],{"className":1560},[622],[580,1562],{"className":1563,"style":627},[626],[580,1565,1360],{"className":1566},[631],[580,1568],{"className":1569,"style":636},[635],[580,1571,1573],{"className":1572},[631,640],[580,1574,608],{"className":1575},[631],[580,1577],{"className":1578,"style":688},[635],[580,1580,664],{"className":1581},[692],[580,1583],{"className":1584,"style":688},[635],[580,1586,1588,1591,1594,1597,1603,1606,1609],{"className":1587},[622],[580,1589],{"className":1590,"style":627},[626],[580,1592,1403],{"className":1593},[631],[580,1595],{"className":1596,"style":636},[635],[580,1598,1600],{"className":1599},[631,640],[580,1601,608],{"className":1602},[631],[580,1604],{"className":1605,"style":688},[635],[580,1607,664],{"className":1608},[692],[580,1610],{"className":1611,"style":688},[635],[580,1613,1615,1618,1621,1624,1630,1633,1636],{"className":1614},[622],[580,1616],{"className":1617,"style":627},[626],[580,1619,1446],{"className":1620},[631],[580,1622],{"className":1623,"style":636},[635],[580,1625,1627],{"className":1626},[631,640],[580,1628,608],{"className":1629},[631],[580,1631],{"className":1632,"style":923},[635],[580,1634,842],{"className":1635},[927],[580,1637],{"className":1638,"style":923},[635],[580,1640,1642,1645,1648,1651,1654,1657],{"className":1641},[622],[580,1643],{"className":1644,"style":1303},[626],[580,1646,1520],{"className":1647},[631],[580,1649],{"className":1650,"style":636},[635],[580,1652,1525],{"className":1653},[631],[580,1655],{"className":1656,"style":636},[635],[580,1658,1660,1666],{"className":1659},[631],[580,1661,1663],{"className":1662},[631,640],[580,1664,608],{"className":1665},[631],[580,1667,1669],{"className":1668},[889],[580,1670,1672],{"className":1671},[893],[580,1673,1675],{"className":1674},[897],[580,1676,1678],{"className":1677,"style":1303},[901],[580,1679,1680,1683],{"style":1333},[580,1681],{"className":1682,"style":909},[908],[580,1684,1686],{"className":1685},[913,914,915,916],[580,1687,839],{"className":1688},[631,916],[564,1690,1691,1692,1786,1787,1871],{},"Wegen ",[580,1693,1695,1721],{"className":1694},[583],[580,1696,1698],{"className":1697},[587],[589,1699,1700],{"xmlns":591},[593,1701,1702,1718],{},[596,1703,1704,1706,1708,1714,1716],{},[599,1705,845],{},[603,1707,605],{},[832,1709,1710,1712],{},[603,1711,608],{},[599,1713,839],{},[662,1715,842],{},[599,1717,601],{},[610,1719,1720],{"encoding":612},"1000\\,\\text{cm}^3 = 1",[580,1722,1724,1777],{"className":1723,"ariaHidden":618},[617],[580,1725,1727,1730,1733,1736,1768,1771,1774],{"className":1726},[622],[580,1728],{"className":1729,"style":937},[626],[580,1731,845],{"className":1732},[631],[580,1734],{"className":1735,"style":636},[635],[580,1737,1739,1745],{"className":1738},[631],[580,1740,1742],{"className":1741},[631,640],[580,1743,608],{"className":1744},[631],[580,1746,1748],{"className":1747},[889],[580,1749,1751],{"className":1750},[893],[580,1752,1754],{"className":1753},[897],[580,1755,1757],{"className":1756,"style":937},[901],[580,1758,1759,1762],{"style":967},[580,1760],{"className":1761,"style":909},[908],[580,1763,1765],{"className":1764},[913,914,915,916],[580,1766,839],{"className":1767},[631,916],[580,1769],{"className":1770,"style":923},[635],[580,1772,842],{"className":1773},[927],[580,1775],{"className":1776,"style":923},[635],[580,1778,1780,1783],{"className":1779},[622],[580,1781],{"className":1782,"style":627},[626],[580,1784,601],{"className":1785},[631]," Liter passen ",[580,1788,1790,1817],{"className":1789},[583],[580,1791,1793],{"className":1792},[587],[589,1794,1795],{"xmlns":591},[593,1796,1797,1814],{},[596,1798,1799,1801,1803,1805,1808,1810,1812],{},[599,1800,1520],{},[603,1802,605],{},[599,1804,1525],{},[662,1806,1807],{},":",[599,1809,845],{},[662,1811,842],{},[599,1813,1520],{},[610,1815,1816],{"encoding":612},"160\\,000 : 1000 = 160",[580,1818,1820,1844,1862],{"className":1819,"ariaHidden":618},[617],[580,1821,1823,1826,1829,1832,1835,1838,1841],{"className":1822},[622],[580,1824],{"className":1825,"style":627},[626],[580,1827,1520],{"className":1828},[631],[580,1830],{"className":1831,"style":636},[635],[580,1833,1525],{"className":1834},[631],[580,1836],{"className":1837,"style":923},[635],[580,1839,1807],{"className":1840},[927],[580,1842],{"className":1843,"style":923},[635],[580,1845,1847,1850,1853,1856,1859],{"className":1846},[622],[580,1848],{"className":1849,"style":627},[626],[580,1851,845],{"className":1852},[631],[580,1854],{"className":1855,"style":923},[635],[580,1857,842],{"className":1858},[927],[580,1860],{"className":1861,"style":923},[635],[580,1863,1865,1868],{"className":1864},[622],[580,1866],{"className":1867,"style":627},[626],[580,1869,1520],{"className":1870},[631]," Liter Wasser hinein.",[559,1873,1875],{"id":1874},"typische-fehler","Typische Fehler",[1877,1878,1879,2084,2087],"ul",{},[1880,1881,1882,1883,2020,2021,2083],"li",{},"Die Einheit falsch angeben: ",[580,1884,1886,1916],{"className":1885},[583],[580,1887,1889],{"className":1888},[587],[589,1890,1891],{"xmlns":591},[593,1892,1893,1913],{},[596,1894,1895,1897,1899,1901,1903,1905,1907],{},[603,1896,608],{},[662,1898,664],{},[603,1900,608],{},[662,1902,664],{},[603,1904,608],{},[662,1906,842],{},[832,1908,1909,1911],{},[603,1910,608],{},[599,1912,839],{},[610,1914,1915],{"encoding":612},"\\text{cm} \\cdot \\text{cm} \\cdot \\text{cm} = \\text{cm}^3",[580,1917,1919,1940,1961,1982],{"className":1918,"ariaHidden":618},[617],[580,1920,1922,1925,1931,1934,1937],{"className":1921},[622],[580,1923],{"className":1924,"style":680},[626],[580,1926,1928],{"className":1927},[631,640],[580,1929,608],{"className":1930},[631],[580,1932],{"className":1933,"style":688},[635],[580,1935,664],{"className":1936},[692],[580,1938],{"className":1939,"style":688},[635],[580,1941,1943,1946,1952,1955,1958],{"className":1942},[622],[580,1944],{"className":1945,"style":680},[626],[580,1947,1949],{"className":1948},[631,640],[580,1950,608],{"className":1951},[631],[580,1953],{"className":1954,"style":688},[635],[580,1956,664],{"className":1957},[692],[580,1959],{"className":1960,"style":688},[635],[580,1962,1964,1967,1973,1976,1979],{"className":1963},[622],[580,1965],{"className":1966,"style":733},[626],[580,1968,1970],{"className":1969},[631,640],[580,1971,608],{"className":1972},[631],[580,1974],{"className":1975,"style":923},[635],[580,1977,842],{"className":1978},[927],[580,1980],{"className":1981,"style":923},[635],[580,1983,1985,1988],{"className":1984},[622],[580,1986],{"className":1987,"style":937},[626],[580,1989,1991,1997],{"className":1990},[631],[580,1992,1994],{"className":1993},[631,640],[580,1995,608],{"className":1996},[631],[580,1998,2000],{"className":1999},[889],[580,2001,2003],{"className":2002},[893],[580,2004,2006],{"className":2005},[897],[580,2007,2009],{"className":2008,"style":937},[901],[580,2010,2011,2014],{"style":967},[580,2012],{"className":2013,"style":909},[908],[580,2015,2017],{"className":2016},[913,914,915,916],[580,2018,839],{"className":2019},[631,916],", nicht ",[580,2022,2024,2042],{"className":2023},[583],[580,2025,2027],{"className":2026},[587],[589,2028,2029],{"xmlns":591},[593,2030,2031,2039],{},[596,2032,2033],{},[832,2034,2035,2037],{},[603,2036,608],{},[599,2038,1104],{},[610,2040,2041],{"encoding":612},"\\text{cm}^2",[580,2043,2045],{"className":2044,"ariaHidden":618},[617],[580,2046,2048,2051],{"className":2047},[622],[580,2049],{"className":2050,"style":937},[626],[580,2052,2054,2060],{"className":2053},[631],[580,2055,2057],{"className":2056},[631,640],[580,2058,608],{"className":2059},[631],[580,2061,2063],{"className":2062},[889],[580,2064,2066],{"className":2065},[893],[580,2067,2069],{"className":2068},[897],[580,2070,2072],{"className":2071,"style":937},[901],[580,2073,2074,2077],{"style":967},[580,2075],{"className":2076,"style":909},[908],[580,2078,2080],{"className":2079},[913,914,915,916],[580,2081,1104],{"className":2082},[631,916],".",[1880,2085,2086],{},"Kanten in verschiedenen Einheiten multiplizieren. Erst alles in dieselbe Einheit umrechnen.",[1880,2088,2089,2090,2083],{},"Volumen und Oberfläche verwechseln. Die Oberfläche ist ",[580,2091,2093,2136],{"className":2092},[583],[580,2094,2096],{"className":2095},[587],[589,2097,2098],{"xmlns":591},[593,2099,2100,2133],{},[596,2101,2102,2105,2107,2109,2113,2115,2117,2120,2122,2124,2126,2128,2130],{},[658,2103,2104],{},"O",[662,2106,842],{},[599,2108,1104],{},[662,2110,2112],{"stretchy":2111},"false","(",[658,2114,660],{},[658,2116,667],{},[662,2118,2119],{},"+",[658,2121,660],{},[658,2123,721],{},[662,2125,2119],{},[658,2127,667],{},[658,2129,721],{},[662,2131,2132],{"stretchy":2111},")",[610,2134,2135],{"encoding":612},"O = 2(ab + ac + bc)",[580,2137,2139,2158,2185,2207],{"className":2138,"ariaHidden":618},[617],[580,2140,2142,2145,2149,2152,2155],{"className":2141},[622],[580,2143],{"className":2144,"style":1203},[626],[580,2146,2104],{"className":2147,"style":2148},[631,684],"margin-right:0.0278em;",[580,2150],{"className":2151,"style":923},[635],[580,2153,842],{"className":2154},[927],[580,2156],{"className":2157,"style":923},[635],[580,2159,2161,2165,2168,2172,2176,2179,2182],{"className":2160},[622],[580,2162],{"className":2163,"style":2164},[626],"height:1em;vertical-align:-0.25em;",[580,2166,1104],{"className":2167},[631],[580,2169,2112],{"className":2170},[2171],"mopen",[580,2173,2175],{"className":2174},[631,684],"ab",[580,2177],{"className":2178,"style":688},[635],[580,2180,2119],{"className":2181},[692],[580,2183],{"className":2184,"style":688},[635],[580,2186,2188,2192,2195,2198,2201,2204],{"className":2187},[622],[580,2189],{"className":2190,"style":2191},[626],"height:0.6667em;vertical-align:-0.0833em;",[580,2193,660],{"className":2194},[631,684],[580,2196,721],{"className":2197},[631,684],[580,2199],{"className":2200,"style":688},[635],[580,2202,2119],{"className":2203},[692],[580,2205],{"className":2206,"style":688},[635],[580,2208,2210,2213,2216,2219],{"className":2209},[622],[580,2211],{"className":2212,"style":2164},[626],[580,2214,667],{"className":2215},[631,684],[580,2217,721],{"className":2218},[631,684],[580,2220,2132],{"className":2221},[2222],"mclose",{"title":2224,"searchDepth":2225,"depth":2225,"links":2226},"",2,[2227,2228,2229],{"id":561,"depth":2225,"text":562},{"id":998,"depth":2225,"text":999},{"id":1874,"depth":2225,"text":1875},[2231,2233,2236],{"lhs":2232,"rhs":1182},"5 * 3 * 2",{"lhs":2234,"rhs":2235},"80 * 40 * 50","160000",{"lhs":2237,"rhs":1520},"160000 \u002F 1000",null,"md",{"caption":2241,"x":2242,"y":2245,"items":2248},"Quader mit Länge a, Breite b und Höhe c; verdeckte Kanten sind 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