# Pyramid

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A pyramid is a solid having an n-sided polygon at its base. The side faces of a pyramid are triangular with the top as a point.

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In the above figures OM is the height of the pyramid.

- Volume = Ã— Area of the base Ã— height
- Lateral Surface Area (LSA) = Ã— (Perimeter of the base) Ã— slant height
- Total Surface Area (TSA) = LSA + Area of the base

# Frustum of Pyramid

A pyramid whose top portion is sliced off by a plane which is parallel to the base is called the frustum of a pyramid.In the above figure, A

_{1}is the area of the top face of the frustum, A

_{2}is the area of the bottom face of the frustum, h is the height of the frustum and l is the slant height of the frustum.

- Volume =
- Lateral Surface Area (LSA) = (P
_{1}+ P_{2})_{1}and P_{2}are perimeters of the top and the bottom faces. - Total surface Area (TSA) = S.A. + A
_{1}+ A_{2}

- Lateral Surface Area (LSA) = (P