Open Box Problem
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Introduction In this project, I am aiming to: 1. Determine the size of square cut from any given square sheet of card which makes the volume of an open top box as large as possible. 2. Determine the size of square cut from any given rectangular sheet of card which makes the volume of the resulting open top box as large as possible 4 squares were cut from the paper (1 from each corner). It was then folded along the lines (see diagram), to make an open top cuboid. Different size squares being cut from the paper each time resulted in a different volume. I spent time ring to calculate the size of the square using trial and improvement. Firstly, I examined the size of cut that gave the largest volume of open box by using squared paper to test out some different sizes of squares and rectangles. I then used Microsoft Excel spreadsheets to...

