document.write( "Question 884809: The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3. What is the length of the side of the bigger cube? \r
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Algebra.Com's Answer #534703 by ankor@dixie-net.com(22740)\"\" \"About 
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The ratio of the sides of two cubes is 2:3 and the difference of their volume is 152 cm^3.
\n" ); document.write( " What is the length of the side of the bigger cube?
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\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "2x = side of the smaller cube
\n" ); document.write( "and
\n" ); document.write( "3x = side of the larger
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\n" ); document.write( "Then we can write an equation for the problem like this:
\n" ); document.write( "(3x)^3 - (2x)^3 = 152
\n" ); document.write( "27x^3 - 8x^3 = 152
\n" ); document.write( "19x^3 = 152
\n" ); document.write( "x^3 = 152/19
\n" ); document.write( "x^3 = 8
\n" ); document.write( "Find the cube root of 8
\n" ); document.write( "x = 2
\n" ); document.write( "therefore
\n" ); document.write( "3(2) = 6 cm is side of the larger cube
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\n" ); document.write( "See if this checks out; calculate: 6^3 - 4^3
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