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The Open Box Problem Aim: 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. Part 1 I will be investigating the size of the cut out square which makes an open box of the largest volume for any sized square sheet of card. The volume for any sized square sheet of card will be gained by using the following formula. Volume = height × area of base V = x × ((L - 2x) × (W - 2x)) X = height of cut out square L= length of square W = width of square I am going to use the following formula to work out the volume of an 8cm by 8cm square sheet of card. I am going to keep the size of card the same while changing the height of the cut out square. V = x ×...

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