What is a tetrahedron: definition, types, area and volume formulas

In this publication, we will consider the definition and varieties of a tetrahedron, as well as formulas for calculating its surface area (one face and full) and volume. The presented information is accompanied by visual drawings for better perception.

Definition of a tetrahedron

Tetrahedron – this is a variety; a tetrahedron whose faces are triangles.

A tetrahedron has 4 faces, 4 vertices and 6 edges. Each face of a figure can be its base.

The development of a tetrahedron using the example of a regular figure is presented below:

The main elements and properties of the tetrahedron (the properties of a regular pyramid apply to it) we examined in.

 Types of tetrahedron

1. Isohedral tetrahedron – the side faces of the figure are equal, and the base is a regular (equilateral) triangle.
2. Rectangular tetrahedron – the angle between all three edges at one vertex is right, i.e. equal to 90°.
3. regular tetrahedron – all edges are equal, and the faces, respectively, are equilateral triangles.
4. Orthocentric tetrahedron – all heights drawn from all vertices of the figure to opposite faces intersect at one point.

Formulas for the area and volume of a regular tetrahedron

surface Area

Volume