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A square based pyramid has 5 vertices, 8 edges and 5 faces

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Q: How many bases does a square pyramid?

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A square pyramid has 1 square base and 4 triangle-shaped sides.

The base is the bottom, so a square-based pyramid has ONE base.

While it is possible for a pyramid to have a square bases, you should not assume that all pyramids have square bases. Try to picture a triangular pyramid in your head, hopefully you can see that it is possible, and this would answer your question.

A square pyramid has five faces, one of which is a square and the remaining four are triangles. Conventionally such a pyramid is called a square BASED pyramid and in that context it has only one base. [That definition is used to distinguish it from a pentagonal pyramid, a hexagonal pyramid, etc.] However, any one of the five faces can be at the bottom.

5. one for the square bottom, and one for each side coming out from the square

It is a pyramid that has a triangle as its base. The pyramids of Egypt are all built on square bases.

A square based pyramid has 8 edges, 6 vertices and 5 faces.

They are polyhedra. They have [at least] one square face.

no Pyramid bases can be any polygonal shape, but are often squares or triangles. The Egyptian Pyramids were constructed on square bases.

Main difference is that square pyramids have square bases, cones have circular bases. For this reason, they're calculated differently.

Pyramids are known with triangular and square bases. In theory, you could build a pyramid using any regular polygon as a base.