Tetrahedron Calculator

About this calculator

This calculator finds the volume and surface area of a regular tetrahedron — a three-dimensional shape made of four identical equilateral triangle faces — from a single edge length, using formulas derived from the shape's symmetry, where the surface area is simply four times the area of one equilateral triangular face and the volume follows from the geometry of the shape's apex height above its triangular base.

This is a standard topic in solid geometry and chemistry-adjacent coursework, since the tetrahedron is the simplest of the Platonic solids and appears in crystallography and molecular geometry, such as the tetrahedral arrangement of atoms bonded to a central carbon atom. It's also used in engineering, 3D modeling and architecture whenever tetrahedral trusses, frames or structural units are being sized, since a single edge measurement is enough to determine both how much material covers the shape's surface and how much volume it encloses.