The Open Box Problem
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The Open Box Problem Maths Coursework Jawhari Thomas 11.5 An open box is a box missing 1 of its six surfaces it can be made using either a squared or rectangular sheet of card. Identical squares are cut from the four corners of the card this creates the height of the box it is then folded as shown below. The card is folded along the dotted lines to form the box. Stage 1 Stage 2 Stage 3 The aim of this exercise is to find the formulae that will enable someone determine the size of the squares cut from the corners of the sheet of card to give the greatest the volume of the box. I am going to begin the investigation using squares, as this will most probably be easiest. I won't build the boxes I am going to use simple mathematics to work...

