document.write( "Question 567351: A box with an open top is constructed from a rectangular piece of cardboard which is initially 30 inches long and 23 inches wide. The box will be formed by removing squares of length x inches from each corner and then folding up the sides (as shown below). Express the volume (V) of the box as a function of x. \r
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Algebra.Com's Answer #366578 by ankor@dixie-net.com(22740)\"\" \"About 
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A box with an open top is constructed from a rectangular piece of cardboard which is initially 30 inches long and 23 inches wide.
\n" ); document.write( " The box will be formed by removing squares of length x inches from each corner and then folding up the sides (as shown below).
\n" ); document.write( " Express the volume (V) of the box as a function of x.
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\n" ); document.write( "From the information, the box dimensions will be:
\n" ); document.write( "(30-2x) by (23-2x) by x (Height)
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\n" ); document.write( "therefore the volume:
\n" ); document.write( "V(x) = x*(30-2x)*(23-2x)
\n" ); document.write( "FOIL
\n" ); document.write( "V(x) = x(690 - 60x - 46x + 4x^2)
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\n" ); document.write( "which is usually written
\n" ); document.write( "V(x) = x(4x^2 - 106x + 690)
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\n" ); document.write( "multiply by the height
\n" ); document.write( "V(x) = 4x^3 - 106x^2 + 690x
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