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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 in3. How many times bigger is the volume of pyramid B than pyramid A?

Sagot :

The ratio of the volume of A to that of B is 75:1 So, 75 times bigger is the volume of pyramid B than pyramid A.

What is the volume of the pyramid?

The volume of the pyramid is the product of one-third of the height and square of the base side length.

The volume of Pyramid A =  (1/3)(side²)(height)

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 in3.

The volume of Pyramid A =  (1/3)(side²)(height)

                                            = (1/3)(9²)(4)

                                            =  108in³

The volume of Pyramid B is 8,100

The ratio of the volume of A to that of B

= 8100/108

75:1

The ratio of the volume of A to that of B is 75:1 So, 75 times bigger is the volume of pyramid B than pyramid A.

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