Tetrahedron Calculator

What Is a Regular Tetrahedron Calculator?

A regular tetrahedron is a 3D solid made of four identical equilateral triangle faces — the simplest of the Platonic solids, shaped like a triangular pyramid. This calculator finds the volume, total surface area, and height from a single edge length, since all edges are equal.

How to Use This Regular Tetrahedron Calculator

1. Measure one edge of the tetrahedron — since it's regular, every edge is the same length.
2. Enter that edge length into the field above.
3. Click Calculate to get the volume, surface area, and height.

Formula

• Volume = a³ / (6√2)
• Surface Area = √3 × a²
• Height = a × √(2/3)

Worked Example

A tetrahedron-shaped die has an edge length of 3 cm. Volume = 3³ / (6√2) ≈ 3.18 cm³. Surface Area = √3 × 3² ≈ 15.59 cm². Height = 3 × √(2/3) ≈ 2.45 cm.