Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 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.

Respuesta :

The volume of pyramid B is 900% bigger than the volume of pyramid A.

What is the Volume of a Square Pyramid?

Volume of a square pyramid = ⅓a²h, where h is the height and a is the base side length.

Volume of pyramid B = 3,456 cu. in.

Volume of pyramid A = ⅓a²h = ⅓ × 12² × 8

Volume of pyramid A = 384 cu. in.

Volume of B / Volume of A = 3,456/384 = 9

This means that pyramid B's volume is 9 times bigger than pyramid A's.

That is the volume of pyramid B is: 900% bigger than the volume of pyramid A.

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Answer:

Step-by-step explanation:

In order to find the volume of the first pyramid, we have to plug the numbers into the formula (v=lwh/3)

Since we already know the volume of pyramid B, we just need to divide the volume of pyramid b by pyramid a

3456/384=9

We know pyramid B is 9 times bigger, therefore, it is 900% bigger than pyramid A.