Frustum of A Pyramid Volume Calculator


Free online Frustum of a Pyramid Volume Calculator: Calculate the volume of a Frustum of a Pyramid based on its S area of larger base, s area of small base, and h the height. Enter three unknowns in the form and press the CALCULATE button.

Table of contents:

What is a Frustum of a Pyramid?

Part of a pyramid between its base and any plane intersecting all the lateral triangles of this pyramid. We call a Frustum of a pyramid the one from which the upper part has been cut off, cut by a plane, either parallel to the base or inclined to this base in any way.

The characteristics of the Frustum of a Pyramid

The lateral edges of a frustum of a regular pyramid are equal, and the faces are equal isosceles trapezoids.

The geometric centroid of a right pyramidal frustum occurs at a height above the bottom base.

The slant height of a frustum of a regular pyramid is the altitude of the face.

Calculate the volume of the Frustum of a Pyramid

The volume of a Frustum of a pyramid is the product of its height by the arithmetic mean of the areas of its bases and their geometric mean. The volume V of the Frustum is expressed by the general formula:

V = h/3 (S + s + √ S.s)

where h is the height of the Frustum between the two parallel planes, and S and s are the areas of the bases of the Frustum (contained in the parallel planes of the section of the solid.