A pyramid is a generic term used to describe a polyhedron with a polygonal base and a number of triangles rising from that base to meet at an apex. A pyramid whose base is a polygon with n-sides (or vertices) has n+1 faces, n+1 vertices and 2n edges, where n >= 3.
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A square pyramid has 5 faces and 5 vertices.
square pyramid has 5 faces, 5 vertices and 8 edges
Octagonal pyramid: 9 faces 16 edges 9 vertices.
A pentagonal pyramid has 6 faces, 6 vertices and 10 edges.
A triangular based pyramid which is a tetrahedron has 4 faces, 6 edges and 4 vertices