Pentagonal prism

Pentagonal prism

What is a pentagonal prism?

Pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron with 7 faces, 15 edges, and 10 vertices.

 

Video: Section of solids: Pentagonal Pyramid digital version

 

Pentagonal prism as a semiregular (or uniform) polyhedron

If faces are all regular, the pentagonal prism is a semiregular polyhedron, more generally, a uniform polyhedron, and the third in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a truncated pentagonal hosohedron, represented by Schläfli symbol t{2,5}. Alternately it can be seen as the Cartesian product of a regular pentagon and a line segment, and represented by the product {5}x{}. The dual of a pentagonal prism is a pentagonal bipyramid.
The symmetry group of a right pentagonal prism is D5h of order 20. The rotation group is D5 of order 10.

 

What is the volume of a pentagonal prism?

The volume, as for all prisms, is the product of the area of the pentagonal base times the height or distance along any edge perpendicular to the base. For a uniform pentagonal prism with edges h the formula is

Video: Volume of Pentagonal Prism

 

How many faces, edges and vertices does a pentagonal prism have?

 

How to do a pentagonal prism?

 

Uniform Pentagonal prism
Pentagonal prism.png
Type
Prismatic uniform polyhedron
Elements
F = 7, E = 15
V = 10 (χ = 2)
Faces by sides
5{4}+2{5}
Dual
Pentagonal dipyramid
Properties
convex
Pentagonal prism vertfig.png

Video: Regular Hexagonal Prism Surface Area
 
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