document.write( "Question 415899: The box has a volume of 16 cubic feet. The width should be 2 feet less than the height. The length should be 4 feet greater than the height. Find the dimensions of the box. \n" ); document.write( "
Algebra.Com's Answer #291596 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
he box has a volume of 16 cubic feet.
\n" ); document.write( "L * W * H = 16
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\n" ); document.write( "The width should be 2 feet less than the height.
\n" ); document.write( "W = H-2
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\n" ); document.write( " The length should be 4 feet greater than the height.
\n" ); document.write( "L = H+4
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\n" ); document.write( "Replace L and W in the 1st equation
\n" ); document.write( "(H+4) * (H-2) * H = 16
\n" ); document.write( "FOIL
\n" ); document.write( "(H^2 - 2H + 4H - 8) * H = 16
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\n" ); document.write( "H(H^2 + 2H - 8) = 16
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\n" ); document.write( "H^3 + 2H^2 - 8H - 16 = 0
\n" ); document.write( "No integer solution for this, plot it on your trusty graphing calc
\n" ); document.write( "y = x^3 + 2x^2 - 8x - 16\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%5E3%2B2x%5E2-8x-16%29+\"
\n" ); document.write( "Find the positive solution using the 0 feature
\n" ); document.write( "x = 2.8284
\n" ); document.write( "so we have
\n" ); document.write( "L = 6.8284
\n" ); document.write( "W = 0.8284
\n" ); document.write( "H = 2.8284
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\n" ); document.write( "You can confirm this by finding the vol using these values\r
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