document.write( "Question 54093This question is from textbook
\n" ); document.write( ": Explain how the ratio of volumes is related to the ratio of their sides. The figures are cubes. One cube's volume is 64 cubed cm (4*4*4) and the other cube's volume is 512 (8*8*8) So the ratio of their volumes would be 64:512, and the ratio of sides would be 6:6 since they're both cubes, but how is the ratio of volumes related to the ratios of their sides?? Thanks \n" ); document.write( "
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Explain how the ratio of volumes is related to the ratio of their sides. The figures are cubes. One cube's volume is 64 cubed cm (4*4*4) and the other cube's volume is 512 (8*8*8) So the ratio of their volumes would be 64:512, and the ratio of sides would be 6:6 since they're both cubes, but how is the ratio of volumes related to the ratios of their sides?? Thanks
\n" ); document.write( "in general for similar figures as is your case
\n" ); document.write( "if side is increased by .....x times..say 2 times
\n" ); document.write( "area = side * side = x*x=x^2....hence area increases by x^2 times...say 2^2= 4times
\n" ); document.write( "volume = side*side*side =x*x*x=x^3...hence volume increase by x^3 times =2^3=8 times as you got. \n" ); document.write( "
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