Pyramid A is a square pyramid with a base side length of 12 inches and a height of 6 inches. Pyramid B has a volume of 2,880 cubic 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.

The Volume of Pyramid B is 10 times bigger that the Volume of Pyramid A.

Also, expressing our answer in percent (percentage format), the Volume of Pyramid B is 90 percent (90%) bigger than Pyramid A.

Step-by-step explanation:

We have two pyramids.

Pyramid A

We are given base side length = 12 inches

Height = 6 inches

The formula for the Volume of a Square Pyramid is

Volume = a² h / 3

where a = base side length or base side edge

h = height of the pyramid.

Therefore, Volume of pyramid A is calculated as:

= (12² * 6) : 3

= 864 : 3

= 288 cubic inches.

Therefore, the Volume of Pyramid A = 288 cubic inches.

In the question, we are given the Volume of Pyramid B = 2880 cubic inches

And we are asked to find how many times bigger the Volume of Pyramid B is compared to Pyramid A.

Volume of Pyramid A = 288 cubic inches

Volume of Pyramid B = 2800 cubic inches.

This is calculated as:

Pyramid B : Pyramid A

= 2880 cubic inches : 288 cubic inches

= 10

This means Pyramid B is 10 times bigger than Pyramid A.

In the question, we are asked to express our answer in percent

This is calculated as:

= [ (Volume of Pyramid B - Volume of Pyramid A) : Volume of Pyramid B ] * 100

= [ (2880 - 288) : 2880] * 100

= (2592 : 2880) * 100

= 0.9 * 100

= 90%.

Therefore, expressing our answer in percent, the Volume of Pyramid B is 90% bigger than the Volume of Pyramid A.