document.write( "Question 1157384: The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
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document.write( "S.A.
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document.write( "240 insquared
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document.write( "S.A.
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document.write( "1500 insquared
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document.write( "V
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document.write( "3375 incubed \n" );
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Algebra.Com's Answer #780231 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The ratio of surface areas is 240:1500 = 4:25 = (2^2):(5^2). \n" ); document.write( "That means the scale factor (ratio of linear measurements) is 5:2; and the ratio of volume measurements is (5^3):(2^3) = 125:8. \n" ); document.write( "Given 3375 as the volume of the larger figure, the volume of the smaller can be found with the proportion \n" ); document.write( " \n" ); document.write( "I leave the calculations to you.... \n" ); document.write( " \n" ); document.write( " |