What is the volume formula for a pyramid?

Volume equals one-third times the base area times the height. For a rectangular base that is V = 1/3 · length · width · height.

How is the surface area of a rectangular pyramid found?

Add the base area to the four triangular faces. Each pair of faces uses a slant height of √(h² + (half the opposite base edge)²).

Does this assume a right pyramid?

Yes. The surface-area result assumes a right rectangular pyramid with the apex directly above the centre of the base.

Pyramid Calculator

Volume and surface area of a rectangular-base pyramid.

Pyramid calculator

Enter the base length, width and height of a right rectangular pyramid to get its volume (⅓·l·w·h), base area, lateral surface area and total surface area. The slant heights are computed from the height and each half-edge. Everything updates instantly in your browser.