Tetrahedron
The faces of all tetrahedra are triangles.
Properties
- 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.
Formula
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 = [latex]\dfrac{\sqrt{2}}{12}[/latex][latex]a^{3}[/latex]
- A = [latex]\sqrt{3}[/latex][latex]a^{2}[/latex]