Mathematica 2014

26

As the figures above demonstrate, these three perfect pyramids could be put together to form a cuboid :

The volumes of the pyramids are as follows : ܸ ଵ ൌ 1 3 ൈ ܽ ൈ ܾ ൈ ܿ ܸ ଶ ൌ 1 3 ൈ ܽ ൈ ܾ ൈ ܿ

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