Volume of Any Pyramid
The illustration here shows that any pyramid can be split into triangular pyramids. Since the volume of a triangular pyramid is 1/3 its base area times its height, it follows that the volume of all of them is 1/3 the area of the original pyramid's base times its height.
You can view Euclid's proof online: Book XII Proposition 6
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Date last modified: April 10, 2009.