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THE OPEN BOX PROBLEM
Member rating: No Rating | Words: | Submitted: Tue Jan 25 2005
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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, as shown below. The card is then folded along the dotted lines to make the box. The main aim is to determine the size of the square cut which makes the volume of the box as large as possible for any given rectangular sheet of card, but first I am going to experiment with a square to make it easier for me to investigate rectangles. I am going to begin by investigating a square with a side length of 10 cm. Using this side length, the maximum whole number I can cut off each corner is 4.9cm, as otherwise I would not have any box left. I am going to begin by looking into going up in 0.1cm from 0cm being the cut out of the box...
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