Tetrahedron (Triangular Pyramid) Volume Calculator

Find the volume of a tetrahedron (triangular pyramid) from base area and height, or from the three base sides and height, with a shape diagram.

Input

Calculate the volume of a tetrahedron (triangular pyramid) from the base area and height, or from the three base side lengths and height.

Base area S

Height h

Volume V

Base area S

Height h

With a consistent length unit, the base area is that unit squared and the volume is that unit cubed.

The volume equals one third times base area times height. This applies to a triangular pyramid (tetrahedron) with a triangular base.
Enter the base area directly, or enter the three side lengths of the base triangle to compute the base area automatically with Heron formula.
With Heron formula, for sides a, b and c, let s equal (a plus b plus c) divided by 2, then area equals the square root of s times (s minus a) times (s minus b) times (s minus c).
If the three sides cannot form a triangle (the longest side is at least the sum of the other two), the area cannot be computed.
The height is the perpendicular distance from the apex to the base plane.
Keep the length unit consistent: the base area is in that unit squared and the volume is in that unit cubed.

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