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Cutting corners. (Posted on 2014-08-14) Difficulty: 3 of 5

I cut off one corner of an empty box to form an open 'pocket', so that each of the length a, breadth b, and depth c, of the initial corner was a different whole number of centimetres, and the area of each face of the 'pocket' was also an integer.

What is the area of the open 4th side of the 'pocket', in terms of a,b, and c?

See The Solution Submitted by broll    
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  Subject Author Date
re(3): what is wanted?broll2014-08-17 02:45:00
Solutionre(2): what is wanted?Charlie2014-08-15 10:07:19
Hints/Tipsre: what is wanted?broll2014-08-15 00:51:35
Some Thoughtsre: what is wanted?Charlie2014-08-14 16:41:17
Some Thoughtswhat is wanted?Charlie2014-08-14 16:34:12
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