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For this project we had to investigate the volumes of open-ended tubes made from a rectangular piece of card with the dimensions, 32cm by 24cm. Either of the two sides could be folded to make the perimeter, with the other side being the height. I made a couple of conjectures before I started. They were: · the more sides, the bigger the volume · regular polygons are the best 1. For the first question, the volumes have to be investigated from various polygon shapes as the base side. The first shape I used was a square, with a height of 24cm, and perimeter of 32cm: To find the area of the base, I used the formula: A = x2, where 'x' is the side of the square. Once the area was found it was multiplied by the height. A = 82 V = 1536cm3 For a square with height 32cm and perimeter 24cm, it is: A = 62 V =...

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