Question

A pentagonal prism contains how many pentagons?
A. 1
B. 2
C. 3
D. 5

Answer 1

Hint:Draw the figure of a pentagonal prism. Count the number of pentagons that can be formed from the pentagonal prism.

Complete step-by-step answer:
A pentagonal prism is a prism that has two pentagonal bases at the top and bottom and 5 rectangular sides.

From the figure, we can understand the pentagon on top and bottom and 5 rectangular sides.
From the figure, we can understand the pentagon 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 also 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.
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.