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When we think of pyramids we  think of the Great Pyramids of Egypt . 

They are actually Square Pyramids, because their base is a square. 
A pyramid is made by connecting a base, the bottom of the pyramid and the apex, the top of the pyramid. 

There are many types of Pyramids, and they are named after the shape of their base, such as:

Triangular Pyramid
: It's base is in the shape of a triangle.
Pentagonal Pyramid: It's base is in the shape of an Pentagon
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The surface of a pyramid is the base and sides
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