General Pyramid Calculator

Calculations at a general pyramid. This has an arbitrary polygon as base. If the apex is vertically above the center of the base it is a right pyramid, otherwise it is oblique. The calculation for the volume of these two shapes is the same, but the height may need to be determined differently.
Enter two values and choose the number of decimal places. Then click Calculate.

	Base surface area (As):			Base: polygon Joining faces: 3 or more triangles
	Height (h):
	Volume (V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Height has a one-dimensional unit (e.g. meter), the volume has this unit to the power of three (e.g. cubic meter).

The surface area of ​​a general pyramid is calculated as the area of ​​the base plus the areas of the individual lateral triangles. This general form has no symmetries, but there are symmetrical sub-forms of the pyramid, which are often what is meant by the term pyramid. The most well-known is the square pyramid, which the ancient Egyptians built like this at the height of their architectural activity. This is a special form of the regular pyramid, just as the square is a special form of the regular polygon. The regular pyramid is usually assumed to be right. Its simplest variant is not the square pyramid, but the regular triangular pyramid. An even more general form of the general pyramid is the general cone, where the base can also be round or have curved sides. The calculation of the volume for the general cone and the general pyramid is the same, that for the surface area is more difficult for the cone.
A pyramid with the tip cur off is called a truncated pyramid or a frustum. The general form is, of course, the general frustum. A pyramid can be reflected across its base, resulting in a bipyramid. A pyramid with a concave base shape is, for example, the star pyramid.

Last updated on 03/31/2026. Author: Jürgen Kummer

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