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The open box problem
Member rating: No Rating | Words: | Submitted: Thu Jan 13 2005
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The open box problem Introduction The aim of my algebraic investigation into the open box problem is to determine the size of square cut which makes the volume of the box as large as possible for any given rectangular sheet of card. The problem itself is simple, an open box is made from a sheet of card, identical squares are then cut off each of the four corners, the sheet is then folded to make box. It is my aim to find out the maximum square cut which gives me the maximum volume box. Strategy 1. Try to find the size of cut-out that will give me the maximum volume of a piece of card 6cm x 6cm, progressing onto algebra. 2. Look for limitations in the results. 3. Devise a plan for overcoming these limitations. 4. Extend the work to find a general formula that will help me to work with all squares and rectangles....
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