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.

322.634%

Step-by-step explanation:

For Pyramid A

Volume of a square based pyramid = 1/3× a² × h

Where a = base side length = 18inches

h = height = 9 inches

Volume of square based pyramid = 1/3 × 18² inches × 9 inches

= 972 cubic inches or 972 in³

Volume of Pyramid A = 972in³

Volume of Pyramid B = 3,136 cubic inches.

Comparing both pyramids

Pyramid A : Pyramid B

972 in³ : 3136in³

= 3136in³ ÷ 972 in³

3.2263374486

This means Pyramid B is 3.2263374486 times bigger than Pyramid A.

In percentage form,

3.2263374486 × 100

= 322.63374486%

Approximately, = 322.634%

Therefore, pyramid B is 322.634% bigger in volume than pyramid A

322.634%

Step-by-step explanation:

Volume of a square based pyramid = 1/3× a² × h

a = 18 inches

h = 9 inches

Volume of square based pyramid = 1/3 × 18² inches × 9 inches  = 972 in³

Volume of Pyramid B = 3,136 cubic inches.

After we solve the volume of the two pyramids, we divide 3136 by 972. From that, we get: 3.2263374486. Because we are trying to find out the percentage of how much bigger pyramid B is, we multiply the number by 100 to get: 322.634

step-by-step explanation:

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