A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
1 base, 8 vertices
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A rectangular prism has 6 vertices. A rectangular pyramid has 5 vertices. 6-5= 1 more vertex
It has 6 faces, 8 vertices and 12 edges
A pentagonal prism has 10 vertices and 15 edges. In addition, it has 2 pentagonal bases and 5 rectangular faces.
A pentagonal prism has 7 faces, 10 vertices and 15 edges.