What is a regular tetrahedron?

A regular tetrahedron has four equilateral triangular faces, six equal edges, and four vertices. All edge lengths are identical, making it one of the five Platonic solids.

What formula is used for a regular tetrahedron?

The volume is V = a³ / (6√2), where a is the edge length. This simplifies to approximately V = 0.11785 × a³.

How is an irregular tetrahedron volume calculated?

For any tetrahedron, V = (1/3) × base area × height, where height is the perpendicular distance from the apex to the base triangle.

What units does this calculator support?

You can enter measurements in centimeters, meters, inches, or feet. The result is displayed in the corresponding cubic unit (cm³, m³, in³, or ft³).

What is the base area for the general method?

The base is any one of the four triangular faces. Its area equals (√3 / 4) × s² for an equilateral triangle with side s, or use Heron's formula for a scalene triangle.

Can I calculate a tetrahedron that is not regular?

Yes. Use the General (Base + Height) method. Compute the base triangle area separately, then enter it along with the perpendicular height from the opposite vertex.

Volume of a Tetrahedron Calculator

Name: Volume of a Tetrahedron Calculator
Availability: InStock
Author: Nham Vu

Calculate the volume of a regular tetrahedron from edge length, or an irregular one from base area and height.

Calculation Method

Enter the edge length of a regular tetrahedron (all edges equal).

Edge Length (a)

Unit

Enter measurements and click Calculate to see the result.

Summary

Calculate the volume of a regular tetrahedron from edge length, or an irregular one from base area and height.

How it works

Select the calculation method: Regular (edge length) or General (base area and height).
Enter the required measurements in your chosen unit.
Click Calculate to see the volume with a step-by-step formula breakdown.
Switch between cubic units (cm³, m³, in³, ft³) using the unit selector.
Use the Reset button to clear all fields and start over.

Use cases

Compute the volume of a regular tetrahedral crystal or gem.
Solve geometry homework problems involving tetrahedra.
Verify manual calculations for 3D modeling or CAD work.
Calculate material volume for tetrahedral structural elements.
Quickly convert between different unit systems for volume.
Understand how edge length scales with volume (cubic relationship).

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu