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The Open Box Problem
Member rating: No Rating | Words: | Submitted: Mon Feb 07 2005
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Mathematics GCSE The Open Box Problem Tiers F, I and H Introduction 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 in figure 1. Figure 1: The card is then folded along the dotted lines to make the box. The main aim of this activity is to determine the size of the square cut out which makes the volume of the box as large as possible for any given rectangular sheet of card. 1. For any sized square sheet of card, investigate the size of the cut out square which makes an open box of the largest volume. 2. For any sized rectangular sheet of card, investigate the size of the cut out square which makes an open box of the largest volume. Question 1 I began work on question 1, which was to investigate the correct cut out size...
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