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?
I have a feeling it's 3 because 12 and 3 is 36
an 8 and 3 is 24 but can you please help me
out with this?

Answer 1

Pyramid B is 27 times bigger than Pyramid A.

Step-by-step explanation:

To find the ratio of the volumes of Pyramid B to Pyramid A, we need to calculate the volumes of both pyramids.

The volume of a pyramid is given by the formula:

Volume = (1/3) x base area x height

For Pyramid A:

Base Area = (Side Length)² = 12² = 144 square inches

Volume = (1/3) x 144 x 8 = 384 cubic inches

For Pyramid B:

Base Area = (Side Length)² = 36² = 1296 square inches

Volume = (1/3) x 1296 x 24 = 10368 cubic inches

The ratio of the volumes is:

10368 / 384 = 27

So, Pyramid B is 27 times bigger than Pyramid A.