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A pyramid is a generic mathematical term which is used to describe a 3-dimensional shape which consists of an n-sided polygonal base and n triangular faces meeting at an apex. If the pyramid has an n-sided polygon as base, then it has 2n edges and n+1 vertices (and n+1 faces).
All triangles have three vertices.
rectangular prism has 8 vertices. rectangular pyramid has 5 vertices. Difference is 3.
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A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.