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

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Properties the a triangular prism

A triangular prism is a polyhedron that has two parallel and also congruent triangles dubbed bases. The lateral faces (sides that room not bases) space parallelograms, rectangles, or squares. There room three lateral faces for a triangular prism. An sheet is a heat segment created by the intersection that two nearby faces. A peak is the suggest of intersection of three edges.

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Triangular prisms, prefer the one above, have actually a complete of 5 faces, v 2 bases and 3 lateral faces. It additionally has 9 edges and 6 vertices.

Any cross section of a triangle prism that is parallel to the bases develops a triangle that is congruent to the bases.

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Two triangular overcome sections because that the triangle prism are displayed in environment-friendly above. They room congruent to the 2 triangular bases of the triangular prism since they are formed by cross sections that room in plane parallel come the bases. This is true for any kind of parallel cross ar of a triangular prism.

Classifying triangular prisms based upon their intersecting faces

Triangular prisms have the right to be classified based on how your bases and lateral encounters intersect or meet. If the bases room perpendicular come the lateral faces, meaning they fulfill at best angles, the is a ideal triangular prism. Otherwise the is one oblique triangle prism.

Right triangle prismOblique triangle prism
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Regular and also irregular triangular prisms

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

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Regular triangle prismIrregular triangular prism
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Volume the a triangle prism

The volume, V, that a triangle prism is the area of among its bases time its height:

S = B·h

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