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Plan I am going to investigate how to make a box with the biggest volume, from a piece of card. The  

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Plan I am going to investigate how to make a box with the biggest volume, from a piece of card. The dimensions of the square will range from, 10x 10 20 x 20, 30 x 30 and 40 x 40. A global formula will then be generated, which will help to calculate where the maximum volume of the open box lies. First of all, the corners of the square have to be cut off so that it can be folded up to make an open box. The shaded squares are going to be cut off. This can be set out as an equation: Volume of Square = Length x Width x Height = L x W x H C= cuts (height) Length = L-2C Width = W-2C Base = (L-2C) (W-2C) Volume = L x W x H = (L-2C) (W-2C) C As L=W, the equation can be simplified to (L-2C) (L-2C) C Volume = (L-2C)2 C The first square measures 10...

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