what are the three expressions that show a prisms # of face, vertices and edges?

Question

If n=the number of sides on the base of a prism, what three expressions show that prism's number of faces, certices, and edges?

Answer 1

If the end of the prism has n sides, then the opposite ends of the prism have 2n edges between them. Each edge makes another edge when extruded into prism, making 2n+n=3n edges.

The ends have n vertices and so there are 2n vertices created by the two ends.

Each edge creates a rectangle in the prism, so there are n such rectangles and n faces plus the two ends' faces making n+2 faces.

In summary then, faces=n+2 (including the two ends); vertices=2n; edges=3n.