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The open box problem
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| Submitted: Tue Aug 26 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 as shown below. The card is then folded along the dotted lines to make the box. The aim of this project is to determine the size of the square cut out in any given size rectangle sheet of card with the largest volume. Task 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. For this task I will use 20cm*20cm square sheet of card. The formula used to get a volume is V=length x Width x height But if were cutting out 4 small squares out of the 20cm square, will be using this formula= V=length-(2H) x width-(2H) x height {Height = H, volume = V} Example: L=20cm, W=20cm, H=1cm V= H x ((L-2H) x...
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