document.write( "Question 586477: The volume of a box is 96 cubic inches. The length is 8 inches more than the height. The width is 2 inches less than the height. Find the dimensions of the box \n" ); document.write( "
Algebra.Com's Answer #373765 by nglngl(2)\"\" \"About 
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x=height (the one no information is given about)\r
\n" ); document.write( "\n" ); document.write( "height=x length=x+8 width=x-2 volume=96\r
\n" ); document.write( "\n" ); document.write( "volume=height * length * width\r
\n" ); document.write( "\n" ); document.write( "96=x(x+8)(x-2) substitute in what you know\r
\n" ); document.write( "\n" ); document.write( "\"96=x%5E3%2B6x%5E2-16x\" multiply out
\n" ); document.write( "\"0=x%5E3%2B6x%5E2-16x-96\" subtract 96
\n" ); document.write( "\"0=x%5E2%28x%2B6%29-16%28x%2B6%29\" factor by grouping
\n" ); document.write( "\"0=%28x%5E2-16%29%28x%2B6%29\" continue factoring
\n" ); document.write( "16=x^2 or x=-6 continue factoring
\n" ); document.write( "x=+-4 or x=-6 solve
\n" ); document.write( "x=4 because it cannot be negative\r
\n" ); document.write( "\n" ); document.write( "height=4 length=12 width=2
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