A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges.
7 faces
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Pentagonal Prism = 2 pentagonal bases + 5 lateral faces Pentagonal Prism = 7 faces Pentagonal Prism has 10 vertices Pentagonal Prism has 15 edges
It has 5 rectangular faces ans two pentagonal faces
A rectangular prism has 6 faces. A pentagon prism has 7 faces. Therefore a rectangular prism has one less face than a pentagonal prism.
Pentagonal Prism = 2 pentagonal bases , 5 lateral faces, 10 vertices Pentagonal Prism = 7 faces, 15 edges
That is the definition of a pentagonal prism!