Polyhedron with four faces.

The faces of all tetrahedra are triangles.


  • A tetrahedron is a pyramide with a triangular base.
  • A tetrahedron has 4 vertices, 6 edges and 4 triangular faces.
  • If the tetrahedron is a regular tetrahedron, then its four faces are congruent equilateral triangles.
  • A tetrahedron with three right angles can be obtained from a cube or a right rectangular prism. It is called a trirectangular tetrahedron.


The following formulas can be used to calculate the volume V and the area A of a regular tetrahedron as a function of the edge length a:

  • V = \(\dfrac{\sqrt{2}}{12}\)\(a^{3}\)
  • A = \(\sqrt{3}\)\(a^{2}\)

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