document.write( "Question 194905: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of the box in terms of the length. \n" ); document.write( "

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A box is to be constructed so that its height is twice its length and its width
\n" ); document.write( " is 2 inches less than the length. Give a complete description of the function
\n" ); document.write( " giving the volume of the box in terms of the length.
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\n" ); document.write( "Let x = the length
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\n" ); document.write( "It says,\"A box is to be constructed so that its height is twice its length\"
\n" ); document.write( "2x = the height
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\n" ); document.write( "and \"its width is 2 inches less than the length.\"
\n" ); document.write( "(x-2) = the width
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\n" ); document.write( "Give a complete description of the function giving the volume of the box in terms of the length.
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\n" ); document.write( "Vol = length * height * width
\n" ); document.write( "V = x * 2x * (x-2)
\n" ); document.write( "V = 2x^2 * (x-2)
\n" ); document.write( "V(x) = 2x^3 - 4x^2, the vol in terms of x (which is the length) \n" ); document.write( "

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