Question

The perimeter of the base of a right square pyramid is 36 cm. The height of the pyramid is 9.

What is the volume of the pyramid?

A) 704 cm^2
B) 576 cm^2
C) 243 cm^2
D) 72 cm^2

Please show how you get your answer.

Answer 1

Volume of Pyramid with Square Base =
..... Area of Base × (Height/3)

1. Calculate length of side

Perimeter of Square: 4S
4S=36
S = 9

2. Calculate Area of Square: S^2
9^2 = 81

3. Calculate Volume: Area of Base × (Height/3)
81(9/3)
81(3)
243

Volume is C. 243 cm^2