Rectangular Nets of Maximum Size - Connected
If you wish, you can consider this problem to be one of wrapping paper around a small gift.
Find the net for the rectangular prism with the largest volume that you can make from a standard piece of paper (8.5" x 11"). Use whatever net arrangement of sides you prefer, but it has to be one connected net. (No loose pieces).
Find the sizes of the six rectangular pieces that form the rectangular prism with the largest volume that can be made from a standard piece of paper (8.5" x 11").
An example is at right.
What other mathematical aspects of this caught your attention? What do you wonder about the situation?
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