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There is one face on the base and 4 round the edge (from each bottom edge to the top vertex) giving 5 faces in all.

There are 4 edges round the square base and one edge from each of the 4 vertices of the base to the top vertex, giving 8 edges in all.

There are 4 vertices round the square base plus another one at the top, giving 5 vertices in all.

As a check, this obeys Eulers formula: Faces + Vertices = Edges + 2

5 + 5 = 10 = 8 + 2

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Q: How many faces edges vertices does a sqare based pyramid have?
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