Tetrahedron Calculator

About this calculator

For a regular tetrahedron — four equilateral triangular faces meeting at four vertices — the volume from edge length a is V = a³/(6√2), and the total surface area is the sum of the four equilateral triangle faces, A = √3·a². Both formulas fall out of the tetrahedron's height, h = a·√(2/3), which pins the apex directly above the centroid of the base triangle.

Chemists use this exact geometry to describe molecules with tetrahedral bond arrangements, such as methane (CH₄), where the central atom sits at the tetrahedron's centroid and the four bonds point to its vertices at 109.5°. Crystallographers, architects designing tetrahedral trusses and space frames, and 3D-printing or CAD designers modelling tetrahedral supports all rely on the same volume and surface-area relations.