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Investigation: The open box problem.
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| Submitted: Fri Sep 12 2003
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Investigation: The open box problem Problem: An open box is to be made from a piece of card. Identical squares are to be cut off the four corners of the card to make the box. (As shown below) Cut off Fold lines Aim: Determine the size or the square cut which makes the volume of the box as large as possible for any given rectangular sheet of card. Plan: To start of with I will be using the trial and improvement method to experiment with different sizes of a square boxes. By doing this I will find out the size of cut off that will leave me with the largest volume inside the box. To find out the volume I will need to know the size of the cut off side and the base length. x = length off the square cut off L = original length off the square card The formula that I will use to work out...
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