# Pentagonal Prism

## A one stop resource

The pentagonal prism is quite common, and very pretty to look at.  If your child is studying these, it is most likely for identification purposes only, however if they are required to calculate either surface area or volume, that information is here also.

A good example of a pentagonal prism for reference purposes is the U.S. Pentagon building.

## The Facts

 Image Cross Section Faces SEVEN- The front and back faces (2) which are pentagons, and five rectangles (5) which connect them. Vertices 10 Vertices Edges 15 Edges Surface Area Where: l = distance from front face to back face Volume Where: l = distance from front face to back face; B =  Area of Base Area of Pentagon Your student is not expected to know or use this formula, I have put it here for interest purposes only. If your child is expected to find the area of a Pentagon, it will be by calculating the area of triangles, when they are given the value of the Apothem.  Click the button below to get a full explanation of this method.