A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
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4 Verticies, 4 edges
Verticies are the corners, where edges meet. There are 5 verticies in a pyramid.
A rectangle has one face, four edges, and four verticies.
A square base pyramid has 8 edges and 5 vertices.
A cube has 8 verticies {corners} 12 edges and 6 faces