Pentagonal Prism

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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


Cross Section


SEVEN- The front and back faces (2) which are pentagons, and five rectangles (5) which connect them.


10 Vertices


15 Edges

Surface Area

Where: l = distance from front face to back face


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.

I am sure you will find all the information and worksheets you need here, however if there is anything you cannot find please don't hesitate to contact me or simply visit the K6Math CafĂ© and join the conversation!

I love to hear from my readers, and with a little feedback and a few suggestions I can make this a great resource for parents, teachers and tutors alike.

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