Question

A pentagonal prism contains how many pentagons?
(A) $ 1 $
(B) $ 2 $
(C) $ 3 $
(D) $ 5 $

Answer 1

Hint: For answering this question first we need to draw the figure of a pentagonal prism and then count the number of pentagons that are present in the pentagonal prism. A pentagonal prism is a prism that has two pentagonal bases at the top and bottom and five rectangular sides.

Complete step by step answer:
A pentagonal prism is a prism that has two pentagonal bases at the top and bottom and five rectangular sides.

From the figure, we can understand that the pentagons are present on the top and bottom and there are $ 5 $ rectangular sides.
From the figure, we can understand that the pentagons are present on top and bottom. Thus there are 2 pentagons in the pentagonal prism. Similarly, there are $ 5 $ rectangles in the pentagonal prism.
Thus we can say that the pentagonal prism consists of a total of $ 7 $ faces including the $ 2 $ pentagon and $ 5 $ rectangles. It consists of $ 10 $ vertices and $ 15 $ edges.
A pentagonal prism can have pentagonal bases with $ 5 $ sides. Thus a pentagonal prism is also known as a five-sided polygon prism.
Thus we have found out that a pentagonal prism consists of $ 2 $ pentagons.
Therefore option B is the correct answer.

Note:
A prism is a polyhedron for which the top and bottom faces are congruent polygons, and all the other faces are rectangles which are also known as lateral faces. A prism is described by the shape of its base. For instance, a rectangular prism has bases that are rectangles, and a pentagonal prism has bases that are pentagons.