Question

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 36 inches and a height of 24 inches. How many times bigger is the volume of pyramid B than pyramid A?

Answer 1

Answer:

Vol B/A = 27

Step-by-step explanation:

The volume of a square pyramid is given by:

V = (1/3)a^2h

where a is the lenght of a base side.

In this question, we have:

Pyramid A

a = 12"

h = 8"

Volume A = (1/3)(12)^2*(8)

Volume A =  384 in^3

Pyramid B

a = 36"

h = 24"

Volume B = (1/3)(36)^2*(24)

Volume B =  10368 in^3

Ratio of Volumes B/A = 10368/384

B/A Vol Ratio = 27

I'll take pyramid B.