A triangle prism is a prism through triangular bases. In the figure listed below are three types of triangle prisms.

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Properties the a triangular prism

A triangular prism is a polyhedron that has actually two parallel and also congruent triangles referred to as bases. The lateral deals with (sides that are not bases) room parallelograms, rectangles, or squares. There are three lateral encounters for a triangular prism. An leaf is a heat segment developed by the intersection that two surrounding faces. A crest is the suggest of intersection of three edges.


Triangular prisms, like the one above, have actually a total of 5 faces, with 2 bases and 3 lateral faces. It also has 9 edges and 6 vertices.

Any cross section of a triangle prism that is parallel come the bases forms a triangle the is congruent come the bases.


Two triangular overcome sections because that the triangle prism are displayed in green above. They are congruent to the two triangular bases of the triangular prism because they are created by cross sections that room in plane parallel to the bases. This is true for any parallel cross section of a triangle prism.

Classifying triangular prisms based upon their intersecting faces

Triangular prisms deserve to be classified based on how your bases and lateral encounters intersect or meet. If the bases space perpendicular come the lateral faces, an interpretation they satisfy at best angles, it is a best triangular prism. Otherwise it is one oblique triangle prism.

Right triangle prismOblique triangular prism

Regular and irregular triangular prisms

Triangular prism can also be classified based on the form of triangle that creates its base. A regular prism is identified by a prism whose bases are constant polygons. Therefore, if the bases that the triangle prism are equilateral triangles, that is a continuous triangular prism. Otherwise it is irregular. Often, a continual triangular prism is implied to it is in a appropriate triangular prism.

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Regular triangular prismIrregular triangular prism

Volume the a triangle prism

The volume, V, the a triangle prism is the area of one of its bases times its height:

S = B·h

where B is the area of a triangular base and also h is the elevation (the distance in between the two parallel bases) the the triangle prism.