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The shop keeper says, “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”Investigate this claim.
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Maths Coursework The shop keeper says, "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" Investigate this claim. By Terry Whitcomb In this coursework I will be investigating whether the shopkeepers claim is correct. I want to find out if the volume of the tray will be a maximum if the area of the base is the same as the area of the four sides. To investigate their claim I will use tables to show my results. I will be investigating further by seeing if the shopkeeper's claim does work and if it does use it on other shapes such as rectangular trays. Firstly I am going to look at the example square and see if the shopkeeper's theory is correct: Side 18cm 18cm Lengths Volume 16x1x16 256 14x2x14 392 12x3x12 432 10x4x10 400 8x5x8 320 6x6x6 216 4x5x4 112 2x6x2 24 It is apparent that the 12x3x12 net creates the largest volume. Now lets see if the shopkeeper's theory is...
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