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Roman55 [17]
3 years ago
15

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 cub

ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
seraphim [82]3 years ago
8 2

Answer:

322.63%

Step-by-step explanation:

Volume of square pyramid = 1/3a²h

a = base side length ; h = height

Volume of pyramid A :

a = 18 ; h = 9

V = 1/3*18²*9

V = 18² * 3

V = 972 in³

Volume of pyramid B = 3136 in³

Volume of pyramid B / Volume of pyramid A

(3136 / 972) * 100% = 322.63%

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