Question

1. A square pyramid has a volume of 363cm and a height of 9cm. What is the perimeter of the

base of the pyramid?

a. 80cm
b. 100cm
c. 36cm
d. 121cm
e. 44cm

Answer 1

e.44cm

Explanation:

The volume of a square pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. In this problem, we are given that the volume of the pyramid is 363 cm³ and the height is 9 cm. Therefore, we can write:

363 = (1/3)B(9)

Simplifying this equation, we get:

B = 121 cm²

We are asked to find the perimeter of the base of the pyramid. Since the base of the pyramid is a square, all four sides of the base are equal in length. Let's call the length of one side of the square base "s". Then the area of the base is given by:

B = s²

Substituting the value of B that we found earlier, we get:

s² = 121

Taking the square root of both sides, we get:

s = 11

Therefore, the perimeter of the base of the pyramid is:

4s = 4(11) = 44 cm

So the answer is e. 44cm.