Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 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.

Pyramid B is 9 times bigger than pyramid A.

Step-by-step explanation:

The formula for determining the volume of a pyramid is expressed as

Volume = 1/3 × base area × height

Considering pyramid A,

base side length = 12 inches

Base area = 12² = 144 inches³

Height = 8 inches

Volume of pyramid A = 1/3 × 144 × 8 = 384 cubic inches

Considering pyramid B,

Volume of pyramid B= 3456 cubic inches

Therefore, the number of times by which pyramid B is bigger than pyramid A would be

3456/384 = 9

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