Triangular Pyramid Volume Calculator

What Is a Triangular Pyramid?

A triangular pyramid (tetrahedron when regular) has a triangular base and three triangular faces meeting at the apex. Its volume is one-third of the base area times the perpendicular height from base to apex.

Related tools: Triangular Prism Calculator, Pyramid Calculator, Tetrahedron Calculator.

Volume Formula

$$V = \frac{A \times H}{3}$$

where $A$ is the base area and $H$ is the pyramid height perpendicular to the base.

Regular Tetrahedron

For a regular tetrahedron with side $a$:

$$V = \frac{a^3 \sqrt{2}}{12}$$

Worked Example

A right triangle with sides 3, 4, 5 has base area $A = 6$. With pyramid height 10, volume is $V = 6 \times 10 / 3 = 20$ cubic units.