Pyramid A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in*3 . How many times bigger is the volume of pyramid B than
pyramid A?

A) 15
B) 32
C) 54
D) 75

Respuesta :

Step-by-step explanation:

The volume of pyramid A = (1/3)(9²)(4) = 108in³

Ratio of the volume of A to that of B = 8100/108

75:1

D

The volume of pyramid B is 75 times greater than pyramid A. The correct option is D.

What is the volume of the pyramid?

A pyramid with a square base is known as a square pyramid. A right square pyramid is one in which the peak is perpendicular to and above the square's center. It is an equilateral square pyramid if all edge lengths are equal.

Given that Pyramid, A is a square pyramid with a base side length of 9 inches and a height of 4 inches. Pyramid B has a volume of 8,100 in*3.

The volume of pyramid A is calculated as below:-

The volume of pyramid A = (1/3)(9²)(4) = 108in³

The ratio of the volume of A to that of B will be calculated as below:-

Ratio = 8100/108

Ratio = 75:1

Therefore, the volume of pyramid B is 75 times greater than pyramid A. The correct option is D.

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