Question

Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

Answer 1

The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).

What is the Volume of a Square Pyramid?

Volume of square pyramid = 1/3(a²)h

Given the following:

• Volume of pyramid B = 3,136 in.³
• Base side length of pyramid A (a) = 18 in.
• Height of pyramid A (h) = 9 in.

Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³

3,136/972 × 100 = 323%

Pyramid B volume is 323% bigger than the volume of pyramid A.

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