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To calculate the volume of a pyramid (not tetrahedron!) you've to use the formula $\frac{1}{3}B\cdot H,$ where $B$ is the area of the base and $H$ is the height.

My question is: why 1/3? Is a pyramid one-third of a cuboid?

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    [volume of pyramid](http://en.wikipedia.org/wiki/Pyramid_%28mathematics%29#Volume)2012-01-20
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    See also [my answer](http://math.stackexchange.com/a/633/72) and [Kaestur Hakarl's answer](http://math.stackexchange.com/a/644/72) on a question about the 1/3 in the volume formula for cones, particularly the animation in Kaestur's answer.2012-01-20

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