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Volume of Triangular Pyramid Calculator

Add values into this calculator to calculate the volume of the triangular pyramid.

Choose one of these

base and height

three sides (h):

m ▾

Base (A):

m² ▾

Pyramid base area (b):

m ▾

Angle a:

m ▾

Angle b:

m ▾

Angle c:

m ▾

Side β:

rad ▾

Angle γ:

rad ▾

Volume (H):

m ▾

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Volume of Triangular Pyramid Calculator

Use this calculator to find the volume of any triangular pyramid. It can compute the base area and volume even if you only know side lengths or other measurements.

You can calculate the volume for different types of triangular pyramids:

Equilateral triangles
Isosceles triangles (using base length and height from base to apex)
Scalene triangles (using all three side lengths)
Right triangular pyramids (special case with 90-degree apex angle)

Triangular Pyramid

A triangular pyramid is a 3-dimensional solid with four triangular faces.

Triangular Pyramid

It has a flat triangular base (equilateral, isosceles, or scalene) and four triangular faces meeting at a point called the apex. If all faces are equilateral triangles, it is called a tetrahedron.

Parts of a Triangular Pyramid

4 faces, 6 edges, 4 vertices
At each vertex, 3 edges meet
No parallel faces
Symmetry depends on the type of pyramid
Can be regular (all faces congruent), irregular, or right-angled

Volume of a Triangular Pyramid

The volume measures the space enclosed by the pyramid.

Common units: m³, cm³, in³, etc.

How to Find the Volume

1. Using the Formula

Volume Formula:

V = (1/3) × Base Area × Height

V = volume of the pyramid
Base Area = area of the triangular base
Height = perpendicular distance from the base to the apex

Example 1:

Triangular pyramid with base area = 25 cm² and height = 10 cm.

Solution:

V = (1/3) × 25 × 10 = 83.33 cm³

2. If Base Area Is Unknown

Equilateral Triangle: Base Area = (√3 / 4) × (side length)²
Isosceles Triangle: Base Area = 1/2 × base length × height from base to apex
Scalene Triangle: Base Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2 and a, b, c are side lengths