document.write( "Question 1194772: The surface areas of two similar figures are 36 in2 and 49 in2. If the volume of the smaller figure is 648 in3, what is the volume of the larger figure?\r
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Algebra.Com's Answer #827039 by Edwin McCravy(20056) $\"\"$ $\"About$

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The surface areas of two similar figures are 36 in2 and 49 in2. If the volume of
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document.write( "If two 3D objects are similar, then if and only if 2 corresponding lengths on\r\n" );
document.write( "then are in the ratio a:b, then and only then will two corresponding 2D areas\r\n" );
document.write( "on them be in the ratio a²:b² and then and only then will two corresponding 3D\r\n" );
document.write( "volumes on them be in the ratio a³:b³.\r\n" );
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document.write( "Since two corresponding areas are in the ratio 36:49 then two corresponding\r\n" );
document.write( "lengths are in the ratio of 6:7 and therefore any two corresponding volumes on\r\n" );
document.write( "them are in the ratio 6³:7³ or the ratio 216:343.\r\n" );
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document.write( " in³\r\n" );
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document.write( "Edwin

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