Volume of a pyramid

The volume of a pyramid has a very simple formula. It is one third of the volume of a prism with the same base.

The prism and the pyramid have the same base and vertical height

The volume of a prism is the area of the cross section multiplied by the length of the prism. This is the same as the area of the base multiplied by the height.

For a pyramid, the volume is the area of the base multiplied by the height divided by three.

$Volume = \frac{Area of base \times height}{3}$

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Volume of a pyramid