document.write( "Question 706433: I need help with the following word problem: A large plywood box has a volume of 324 ft3. Its length is 12 ft greater than its height, and its width is 3 ft less than its height. What are the dimensions of the box?\r
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\n" ); document.write( "\n" ); document.write( "ok i know the volume of a box is found by l*w*h
\n" ); document.write( "the length here: H+2
\n" ); document.write( "the with would be: H-3
\n" ); document.write( "and the hight is just: H\r
\n" ); document.write( "\n" ); document.write( "but i don't think it would be right to do: (H)*(H-3)*(H+2)=324 \n" ); document.write( "
Algebra.Com's Answer #435156 by ankor@dixie-net.com(22740)\"\" \"About 
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A large plywood box has a volume of 324 ft3. Its length is 12 ft greater than its height, and its width is 3 ft less than its height.
\n" ); document.write( " What are the dimensions of the box?
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\n" ); document.write( "That's the way you do it, it would be
\n" ); document.write( "(h+12)*(h-3)* h = 324
\n" ); document.write( "FOIL
\n" ); document.write( "(h^2 - 3h + 12h - 36) * h = 324
\n" ); document.write( "(h^2 + 9h - 36) * h = 324
\n" ); document.write( "h^3 + 9h^2 - 36h - 324 = 0
\n" ); document.write( "We can group factor this
\n" ); document.write( "h^2(h+9) - 36(h+9)
\n" ); document.write( "Factor out (h+9)
\n" ); document.write( "(h+9)(h^2-36) = 0
\n" ); document.write( "we are only interested in the positive solution
\n" ); document.write( "h^2 = 36
\n" ); document.write( "h = 6 ft is the height
\n" ); document.write( "then
\n" ); document.write( "L = 18, W = 3 ft
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\n" ); document.write( "Check: 18 * 3 * 6 = 324
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