Question

How many faces do a pentagonal pyramid have?

Answer 1

Hint: This is a geometrical problem for which we have to understand geometrical figures. In the given problem we have to find the number of faces that a pentagonal pyramid has. The most important point to remember is that the base of the pentagonal pyramid will also be counted as its face. So let’s see how we can solve this problem.

Complete step by step solution:
The given problem asks us to find the faces of a pentagonal pyramid. We know that a pyramid is named according to the shape of its base. For example, a pyramid with 3 sides and a base is called a square pyramid. We also know that a pyramid of a base may have any number of sides. The faces which can be seen from the side are triangles in shape and they meet at a point called apex which is the top of the pyramid.
As we have to find the faces of a pentagonal pyramid, we know that it must have 5 faces that can be seen from the side. These 5 triangular faces on each side of the base.

Therefore, faces: \[5 + 1 = 6\]

The 1 is considered for the base which can be seen from above or below.

Additional Information:
A pyramid may have a number of faces and a base. In that case, the total number of faces should be n + 1. There are different shapes of a pyramid and all the pyramids are named according to their shapes. Like a triangular pyramid, square pyramid, right pyramid, and so on.

Note:
From the given question we can easily identify that the pyramid must have 5 faces on its side because it is a pentagonal pyramid and the base of every pyramid is considered as one face. So in total, there are six faces of a pentagonal pyramid.