Uniform Pentagonal prism | |
---|---|
Type | Prismatic uniform polyhedron |
Elements | F = 7, E = 15 V = 10 (χ = 2) |
Faces by sides | 5{4}+2{5} |
Schläfli symbol | t{2,5} or {5}x{} |
Wythoff symbol | 2 5 | 2 |
Coxeter-Dynkin | |
Symmetry | D_{5h} |
References | U_{76(c)} |
Dual | Pentagonal dipyramid |
Properties | convex |
Vertex figure 4.4.5 |
In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron.
If faces are all regular, the pentagonal prism is a semiregular polyhedron, and the third in an infinite set of prisms formed by square sides and two regular polygon caps.
A pentagonal prism has 7 faces, and 10 vertices, and 15 edges.
As in most prisms, the volume is found by taking the area of the base, with a side length of a, and multiplying it by the height h.
See also
- Set of prisms
- Triangular prism
- Cube Square-capped prism
- Hexagonal prism
External links
- Weisstein, Eric W., "Pentagonal prism" from MathWorld.
- Pentagonal Prism Polyhedron Model -- works in your web browser
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