document.write( "Question 1064722: Each dimension of a cube has been increased to twice its original size. If the new cube has a volume of 64,000 cm³, what is the area of one face of the original cube? Show your work \n" ); document.write( "
Algebra.Com's Answer #679928 by rothauserc(4718)\"\" \"About 
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let x be the length of 1 side of our cube, then
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\n" ); document.write( "2x is the length of a side of the new cube and
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\n" ); document.write( "2x * 2x * 2x = 64000
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\n" ); document.write( "8 * x^3 = 64000
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\n" ); document.write( "x^ 3 = 8000
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\n" ); document.write( "x = cube root(8000) = 20
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\n" ); document.write( "the area of one face of the original cube is
\n" ); document.write( "20 * 20 = 400 cm^2
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