Right Pyramid Volume and Surface Area

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Let be a regular polygon with sides of length and let , the apex, be a point directly above the center of . A right pyramid is the solid formed by joining the vertices of to and filling in the triangular faces.

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The Indian mathematician Aryabhata determined that the volume of any pyramid is , where is the area of the base polygon , using that the inner radius of is .

The slant height is . The base perimeter is , number of sides × side length. The slant surface area is given by .

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Contributed by:Ed Pegg Jr (May 2018)
Open content licensed under CC BY-NC-SA


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