document.write( "Question 821135: The width of a box is 200 cm less than the length. THe height is 100 cm less than the length. The volume of the box is 20 m^3. Write a polynomial function to describe the volume. Find the dimensions of the box. \n" ); document.write( "
Algebra.Com's Answer #493921 by ankor@dixie-net.com(22740)\"\" \"About 
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The width of a box is 200 cm less than the length.
\n" ); document.write( "Change 200 cm to 2 meter
\n" ); document.write( "W = L-2
\n" ); document.write( ":
\n" ); document.write( " THe height is 100 cm less than the length.
\n" ); document.write( "Change 100 cm to 1 meter
\n" ); document.write( "H = L-1
\n" ); document.write( ":
\n" ); document.write( " The volume of the box is 20 m^3.
\n" ); document.write( "L * W * H = 20
\n" ); document.write( ":
\n" ); document.write( " Write a polynomial function to describe the volume.
\n" ); document.write( "Replace W and H
\n" ); document.write( "f(L) = L * (L-2) * (L-1)
\n" ); document.write( "f(L) = L(L^2 - 3L + 2)
\n" ); document.write( "f(L) = L^3 - 3L^2 + 2L
\n" ); document.write( ":
\n" ); document.write( " Find the dimensions of the box.
\n" ); document.write( "L^3 - 3L^2 + 2L = 20
\n" ); document.write( "L^3 - 3L^2 + 2L - 20 = 0
\n" ); document.write( "Graphically
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-50%2C+50%2C+x%5E3-3x%5E2%2B2x-20%29+\"
\n" ); document.write( "L = 3.84 m (384cm), you can find W and H \n" ); document.write( "
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