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.

Question

Vocaloid · Answer

pay attention to the phrasing: "how many times bigger" is not the same as "how many times as big"

to find out how many times bigger pyramid B is, compared to pyramid A, find the diff. between pyramid B and A's volume

(vol pyramid B - vol pyramid A)

and divide the result by pyramid A

--> (vol pyramid B - vol pyramid A)/(pyramid A)

now, to find the actual volume: volume B is already given, so we just need to work w/ pyramid A

volume of a square pyramid = (1/3) s^2 * h
where is the side length of one of the bases, and h is the height