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Maths GCSE Coursework: Trays Introduction I am going to investigate the shopkeeper's theory - "When the area of the base is the same as the area of the four sides, the volume of the tray will be a maximum"-. A net of a tray made from a piece of card measuring 18cm by 18cm is shown below: In order to investigate whether his theory is right or wrong, I will vary the size of the corner that is being cut off in the 18 x 18 card. I will vary this in Excel and perform a decimal search. In order to do this, I need to develop algebraic formulae to represent the area of the base, the area of the sides, and the volume. Let the length of the corner that is being cut off = h The length of the side = 18 - length of 2 corners, therefore Length side = 18-2h In order to...

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