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Edited: 08/09/2010 03:54 PM
Picture: John Rowland
John Rowland
Boxes
I start with a rectangle and cut a square from each corner in such a way as to maximise the volume of the resultant box formed by folding up the sides.  It turns out that the squares I cut out are unit squares (1 inch sides) and the resultant box has a length and width both of which are an integer number of inches.  What are the dimensions of the original rectangle?