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The Open Box Problem
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| Submitted: Sun Aug 17 2003
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The Open Box Problem An open box is to be made from a sheet of card. Identical squares are cut off the four corners of the card, which is then folded along the dotted lines to make the box. The main aim is to find out the size of the square cut which makes the volume of the box as large as possible for any rectangular sheet of card. I am going to begin by looking at which size of cut out square will give the largest volume for a square sheet of card. I will now look at a square with a side of 6 cm. The letter 'x' represents the length of the square cut out to form the box. The letter 'l' is used for the length of each side - 2x, this is going to be the length of the open box created. The letter 'h'...
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