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(08.01 HC)Pyramid A is a square pyramid with a base side length of 18 inches anda 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 percent. Provide an explanatiol and proof foryour answer to receive full credit. (10 points)

Sagot :

Answer: Pyramid A = 972 cubic inches

Pyramid B is 322% bigger than Pyramid A

Pyramid A has the following data

The base of the pyramid = 18 inches

The height of the pyramid = 9 inches

Volume= area x (height/3)

The area = length x length

Area = 18 x 18

Area = 324 square inches

Volume = 324 x (9/3)

Volume = 324 x 3

Volume = 972 cubic inches

The volume of pyramid B = 3136 cubic inches

How many times bigger is the volume of pyramid B than Pyramid A

percentage = pyramid B / pyramid A x 100%

= 3136 / 972 x 100

= 3.22 x 100%

= 322%

Therefore, Pyramid B is 322% bigger than Pyramid A

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