Question

How many faces are there in a square pyramid.

Answer 1

Hint: A square pyramid is a pyramid having a square base. First of all, draw the diagram of the square pyramid. In the diagram, it can be observed that there are three triangular faces and one square face. At last, calculate the total number of faces of the square pyramid.

Complete step by step answer:
According to the question, we are given a square pyramid and we have to find the number of faces in the square pyramid.
We know that a square pyramid is a pyramid having a square base.
For figuring out the number of faces of the square pyramid, we need to draw the shape of the square pyramid.

In the above diagram, we can observe that
ABCD is the square base of the pyramid ………………………………………..(1)
EBC is the triangular face …………………………………………(2)
ECD is the triangular face ………………………………………..(3)
EDA is the triangular face …………………………………………(4)
EAB is the triangular face ………………………………………..(5)
From equation (2), equation (3), equation (4), and equation (5), we get
The total number of triangular faces = 4 …………………………………….(6)
For the total number of faces in the square pyramid, we have to add the number of triangular faces and the number of square face …………………………………………….(7)
Now, from equation (1), equation (6), and equation (7), we get
The total number of faces in a pyramid = \[4+1=5\] .

Therefore, the total number of faces in a square pyramid is 5.

Note: For solving this type of question, where it is asked to find the total number of faces in a pyramid. One must recall the diagram of the pyramid. Using the diagram of the pyramid, it will be easier to calculate the total number of faces.