document.write( "Question 981424: A box with a top is to be constructed out of a 12 by 18 inch piece of cardboard by cutting congruent squares from two of the four corners and rectangles from the other two corners, then folding up the sides (as shown below).\r \n" );
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document.write( "1. If the square in the upper left (and lower left) hand corners is 2 inches:\r \n" );
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document.write( "What is the length of the box? ____________________. \r \n" );
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document.write( "What is the width of the box? _____________________. \r \n" );
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document.write( "What is the height of the box? _____________________. \r \n" );
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document.write( "What is the volume of the box? _____________________.\r \n" );
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document.write( "2. If the square in the upper left (and lower left) hand corners is x-inches, write a function V(x) for the volume of the box.\r \n" );
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document.write( "V(x) = ____________4x^-60x^2+216x___________ \n" );
document.write( "3. What values of x (the size of the cut out square) make sense to the problem? \r \n" );
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document.write( "x = ___________________________\r \n" );
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document.write( "4. What size should the cut-out square be to make the volume 400 cubic inches? \r \n" );
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document.write( "Cut out square = _______________________.\r \n" );
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document.write( "5. Find how large the cut-out squares should be to maximize the volume of the box.\r \n" );
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document.write( "Cut-out square size that maximez volume ___________________. \r \n" );
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document.write( "What is that maximum value (volume)? _____________________. \n" );
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