Volume of a Pyramid

The volume of a pyramid with a given height and base area is exactly 1/3 the volume of a prism with the same height and base area. This can be illustrated with three congruent, right pyramids if the pyramids have a square base and a height equal to the width of the base. (You can not make a prism out of three congruent pyramids if the pyramids do not have these dimensions, but you can use Cavalieri's principle to generalize this special case.)

 

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