Volume of a Right Triangular Pyramid
Formula

b: The length of the base of the triangular base of the pyramid

H: The height of the triangular base of the pyramid

h: The height of the pyramid


V: The volume of the interior of the pyramid

Pyramid (volume)
Explanation

In general, the volume of a pyramid is one-third the volume of a corresponding prism (with a base congruent to that of the pyramid and a height equal in measure to that of the pyramid).


As a result, the volume of a pyramid is one-third the area of the base times the height of the pyramid.

Volume of a pyramid formula

The area of the triangular base is given by the formula below:


Area of a triangle formula

Substitute to get the following:


Volume of a right triangular prism (unsimplified)

Simplify to get the result below:


Volume of a right triangular prism