document.write( "Question 1156758: Suppose an airline policy states that all baggage must be  boxshaped with a sum of  length, width, and height not exceeding 168in. What are the dimensions and 
\n" ); document.write( "volume of a  square­based box with the greatest volume under these  conditions?
\n" ); document.write( "Write a function for the volume V of the box in terms of  w, one of the edges of
\n" ); document.write( " the square bottom. 
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Algebra.Com's Answer #779723 by ankor@dixie-net.com(22740)\"\" \"About 
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Suppose an airline policy states that all baggage must be boxshaped with a sum of length, width, and height not exceeding 168in.
\n" ); document.write( " What are the dimensions and
\n" ); document.write( "volume of a square­based box with the greatest volume under these conditions?
\n" ); document.write( "Greatest volume would be a cube
\n" ); document.write( "\"168%2F3\" = 56 by 56 by 56 which is 56^3 = 175,616 cu inches
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\n" ); document.write( "Write a function for the volume V of the box in terms of w, one of the edges of
\n" ); document.write( " the square bottom.
\n" ); document.write( "w = one side of the square bottom
\n" ); document.write( "sum of the length, width and height = 168, the bottom is square, therefore:
\n" ); document.write( "h = (168-2w)
\n" ); document.write( "V = w^2 * h
\n" ); document.write( "replace h with (168-2w)
\n" ); document.write( "V = w^2 * (168-2w)
\n" ); document.write( "V = -2w^3 + 168w^2\r
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