Pentagonal Pyramid

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The pentagonal pyramid comes up quite often during elementary math when the next level of difficulty is added after the square pyramid.

Just the challenge of finding the area of the pentagon alone, is enough to confuse some kids - so don't let this be your child's story. There is nothing more or less complicated about a pentagon than the square or triangle, other than calculating its base area.  

This however in general will actually be supplied for the elementary student.

The Facts


Base Shape


SIX - The five side faces are triangles and the base shape is a pentagon.


6 Vertices


10 Edges

Surface Area

Where: t = lateral height; P = Perimeter of Base; B =  Area of Base


B =  Area of Base; h = Perpendicular Height

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.

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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 MathMomentumCommunity 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.

Be sure to explore everything on this site starting at the home page.

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