Net Perimeter
The net above can be folded-up to produce a cube and it can be verified that the
perimeter of this particular net is 14 units.
Altogether there are eleven distinct nets that can fold to produce a cube. What is the maximum perimeter possible for any of these eleven nets?
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We can do this in reverse, and start with a square face, and attach more squares to the net. We have to add 5 more squares. Hence, there has to be a minimum of 5 creases. The total number of edges is 6 x 4 = 24, but each crease removes 2 from the perimeter. Hence, 24 - 2(5) = 14, answer.