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In this investigation, I will be investigating the maximum volume, which can be made from a certain size square piece of card, with different size sections cut from their corners. The types of cubes I will be using are all open topped boxes. The size sections that I will be cutting from the square piece of card will all be the same size. The section sizes will go up to half of the original size of card. I will only go up to this size, because it is physically impossible to cut square sections, with sides over half the length of the original shape. During this investigation, I will not account for the 'tabs', which would normally be needed to hold the box sides together. I predict that when the size of the square I cut out is very small, the volume of the box will also be very small. Secondaly, I predict...

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