Sum of the surface areas or each of its seven faces. Only the two pentagonal bases should have equal areas; there is no need for any of the other faces to have equal areas.
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Area of pentagon * length of prism.
A pentagonal prism has 10 vertices. A rectangular prism has 8 vertices. Therefore, a pentagonal prism has 2 more vertices than a rectangular prism.
Volume = (base area) x height.
pentagonal prism
A pentagonal prism has 7 faces, and 10 vertices, and 15 edges