triangular prism
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{{Prism polyhedra db|Prism polyhedron stat table|P3}}{{For|the optical prism|Triangular prism (optics)}}In
geometry, a
triangular prism or
three-sided prism is a type of
prism; it is a
polyhedron made of a
triangular base, a
translated copy, and 3 faces joining corresponding sides.Equivalently, it is a
pentahedron of which two faces are parallel, while the
surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes). These three faces are
parallelograms. All cross-sections parallel to the base faces are the same triangle.A right triangular prism is
semiregular if the base faces are equilateral
triangles, and the other three faces are
squares. The
dual of a triangular prism is a 3-sided
bipyramid.The
symmetry group of a right 3-sided prism with triangular base is
D3h of order 12. The
rotation group is
D3 of order 6.The symmetry group does not contain
inversion.It can be considered as a
truncated trigonal hosohedron.
Volume
The volume of any prism is the product of the area of the base and the distance between the two bases. In this case the base is a triangle so we simply need to
compute the area of the triangle and multiply this by the length of the prism:
V = 1/2 bhl.
Where b is the triangle base length, h is the triangle height, and l is the length.
Related polyhedra
It is related to the following sequence of uniform
truncated polyhedra.{| class="wikitable"
