Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 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 percentage. Provide an explanation and proof for your answer to receive full credit.

This would actually be in the mathematics section but to solve this you will do the following:

I will start with the volume of a square pyramid, which is 

In this case, since the base side length is 14 and the height is 6, I will plug this into the formula 

 I will divide pyramid B, which is 3136 by 392, which equals 8.

8 * 100 = 800%

800%/100=8

392*8=3136

So, solving this step by step, I got the same volume as pyramid B of 3,136.

Volume of pyramid A = 1/3 × base area × height.

= 1/3 × 14² × 6

= 1/3 × 196 × 6

= 196 × 2

= 392in³.

Volume of pyramid B = 3136in³.

Now, Ratio of Volume Of pyramid B to the Volume of pyramid A = 3136in³/392in³

= 8:1.

Hence, Volume of pyramid B is 8 times bigger than Volume of pyramid A.

or

12.5% bigger.

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