Definition of Triangular Prism

What is a triangular prism in geometry?

Triangular prism

In geometry, a triangular prism or "three-sided prism" is a polyhedron made from a triangular base, a translated copy and 3 faces joining the corresponding sides.

If the sides are squares, it is called a uniform polyhedron.

Equivalently, it is a pentahedron whose two faces are parallel, while the normals to the surfaces of the other three are in the same plane (which is not necessarily parallel to the planes of the bases). These three faces are parallelograms. All cross sections parallel to the base faces are the same triangle.

A right triangular prism is semi-regular if the faces of the bases are equilateral triangles, and the other three faces are squares.

A general right triangular prism can have rectangular sides.

The dual of a triangular prism is a 3-sided bipyramid.

The symmetry group of a 3-sided straight prism with a regular base is the prismatic group D3h (en), isomorphic to the dihedral group D6 of order 12. The rotation group (en) is D3 of order 6.

The symmetry group does not contain central symmetry (inversion at a point).

How to calculate the volume of a triangular prism
How to calculate Surface area of a triangular prism
How many faces, edges, and vertices does a triangular prism have?

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