Tetrahedron Surface Area Calculator

About this calculator

A regular tetrahedron is a Platonic solid made of four equilateral triangular faces. Its total surface area follows directly from the area of one equilateral triangle: with edge length a, a single face has area (√3⁄4)a², so the total surface area is A = √3 × a². Its volume is V = a³ ÷ (6√2), and its height (from one vertex perpendicular to the opposite face) is h = a√(2/3).

Because all four faces, edges, and vertex angles are identical, a single edge length fully determines every other measurement of the solid. Geometry students, 3D designers, and engineers working with tetrahedral trusses or molecular models (tetrahedral geometry shows up naturally in methane's molecular structure and in space-frame construction) use these formulas to get surface area, volume, and height from one known edge length.