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

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Properties that a triangle prism

A triangle prism is a polyhedron that has actually two parallel and congruent triangles dubbed bases. The lateral encounters (sides that space not bases) are parallelograms, rectangles, or squares. There are three lateral encounters for a triangle prism. An leaf is a heat segment formed by the intersection the two adjacent faces. A crest is the allude of intersection of 3 edges.

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

Any cross ar of a triangle prism the is parallel come the bases creates a triangle the is congruent to the bases.

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Two triangular overcome sections because that the triangular prism are displayed in green above. They space congruent come the 2 triangular bases that the triangular prism due to the fact that they are formed by cross sections that space in plane parallel to the bases. This is true for any parallel cross ar of a triangle prism.

Classifying triangular prisms based on their intersecting faces

Triangular prisms deserve to be classified based upon how their bases and lateral deals with intersect or meet. If the bases are perpendicular to the lateral faces, an interpretation they satisfy at ideal angles, that is a appropriate 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 prism can likewise be classified based on the type of triangle that creates its base. A constant prism is identified by a prism whose bases are consistent polygons. Therefore, if the bases that the triangle prism space equilateral triangles, it is a continuous triangular prism. Otherwise the is irregular. Often, a regular triangular prism is include to it is in a right triangular prism.

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Regular triangular prismIrregular triangle prism
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Volume that a triangular prism

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

S = B·h

where B is the area that a triangular base and also h is the height (the distance between the 2 parallel bases) the the triangular prism.