... volume is at its highest between the cut out of 3 and 4cm. I will now use trial and improvement method to work out the maximum volume. I will work between the cut outs 3 and 4 centimetres. To get the Length/Breath of the box; to work out the volume in my trial and improvement table; I will double the cut out number and subtract it from 20. E.g. Cut out = 3.1 20 - (3.1 + 3.1) = Length/Breath I will then take the length and square it (breath is the same as the length) and multiply it by the height; which is the size of the cut out. E.g. 13.82 x 3.1 = 590.36 (the total volume of the box) Therefore the whole calculation, given that (n = cut out and L = length) is... Step 1: 20-(n + n) = L Step 2: L2 x n = Volume * Trial and Improvement to one ...

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