document.write( "Question 518053: a rectangular box is to be constructed with its length four times the size of its width, and its height one half the size of its length. the volume of the box must be 1000 cubic centimeters. find the dimensions of the box \n" ); document.write( "
Algebra.Com's Answer #345063 by ankor@dixie-net.com(22740)\"\" \"About 
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a rectangular box is to be constructed with its length four times the size of its width, and its height one half the size of its length.
\n" ); document.write( " the volume of the box must be 1000 cubic centimeters. find the dimensions of the box
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the box
\n" ); document.write( "then
\n" ); document.write( "4x = the length of the box
\n" ); document.write( "and
\n" ); document.write( "2x = the height of the box (half the length
\n" ); document.write( ":
\n" ); document.write( "Volume: L*W*H
\n" ); document.write( "therefore
\n" ); document.write( "x*4x*2x = 1000
\n" ); document.write( "8x^3 = 1000
\n" ); document.write( "Find the cube root of both sides
\n" ); document.write( "2x = 10
\n" ); document.write( "x = 5 cm is the width
\n" ); document.write( "then
\n" ); document.write( "4(5) = 20 cm is the length
\n" ); document.write( "and
\n" ); document.write( "2(5) = 10 cm = the height
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this: 5 * 20 * 10 = 1000 \n" ); document.write( "
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