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.

The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.

Volume of a square based pyramid is given as :

Where; h = height ; a = base edge

Hence, Volume of PYRAMID A :

Volume of PYRAMID B = 3,136 in³

Divide Volume of pyramid B by pyramid A :

= 8 times

Expressing as a percentage, multiply by 100% ;

8 * 100% = 800%

Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.

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