Pyramid Volume Calculator
Calculate pyramid volume from base area and height.
Calculate pyramid volume with a square base from side length and height.
Calculate pyramid volume with a rectangular base from sides and height.
What Is a Pyramid?
A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a single apex point. The volume of any pyramid, regardless of base shape, follows one universal formula:
V = (1/3) x Sbase x h
where Sbase is the area of the base and h is the perpendicular height from base to apex.
Volume by Base Type
Square base: Sbase = a². V = (1/3) x a² x h.
Rectangular base: Sbase = a x b. V = (1/3) x a x b x h.
Triangular base: Enter the base area directly, or use the square/rectangular calculators after computing your triangle base area separately.
Where Pyramid Volume Matters
Construction and architecture: Estimate concrete or fill material for pyramidal structures, roofs, and foundations.
Education: Verify geometry homework and understand the 1/3 relationship between pyramid and prism volumes.
Manufacturing: Calculate material volume for pyramidal containers, hoppers, and funnels.
Archaeology: Estimate the original volume of ancient pyramid structures.
Key Point
A pyramid always has one-third the volume of a prism with the same base and height. This 1/3 factor is constant regardless of base shape — it applies to square, rectangular, triangular, and even irregular polygonal bases.
