document.write( "Question 165553: when one edge of a cube decreased by 1cm, its volume is decreased by 91cm. find the length of a side of the orignal cube. \n" ); document.write( "
Algebra.Com's Answer #122020 by ankor@dixie-net.com(22740)\"\" \"About 
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when one edge of a cube decreased by 1 cm, its volume is decreased by 91cm.
\n" ); document.write( " find the length of a side of the original cube.
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\n" ); document.write( "Let x = side of original cube
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\n" ); document.write( "x^3 = volume of original cube
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\n" ); document.write( "the volume when one edge of the cube is decrease by a cm = x^2(x-1)
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\n" ); document.write( "Original - one edge decreased = 91 cu/cm
\n" ); document.write( "x^3 - x^2(x-1) = 91
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\n" ); document.write( "x^3 - x^3 + x^2 = 91
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\n" ); document.write( "x^2 = 91
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\n" ); document.write( "x = \"sqrt%2891%29\"
\n" ); document.write( "x = 9.54 cm
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\n" ); document.write( "Check solution:
\n" ); document.write( "9.54^3 -(9.54^2 * 8.54)
\n" ); document.write( "868 - 777 = 91
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\n" ); document.write( "Please let me know which your responses are correct. I think they mean just
\n" ); document.write( "one dimension is decreased by 1 cm, the other remain the same.
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