Tetrahedron

A rotating tetrahedron

A tetrahedron (triangular pyramid) is a three-dimensional shape. It has four corners. It looks like a pyramid. It has six equally long edges, four corners and four equilateral triangular faces. Every two edges meet on one of those corners forming a sixty-degree angle. All of its sides are triangles.

Formulas for a regular tetrahedron

A regular tetrahedron is a tetrahedron where all of its edges are the same length. If the length of an edge is a:

Surface area	${\sqrt {3}}a^{2}\,$
Face area	${\frac {\sqrt {3}}{4}}a^{2}\,$
Height	${\sqrt {\frac {2}{3}}}\,a\,$ and ${\frac {\sqrt {6}}{3}}a$
Volume	${\frac {a^{3}}{6{\sqrt {2}}}}\,$ and ${\frac {\sqrt {2}}{12}}a^{3}$