Question

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 percent. Provide an explanation and proof for your answer to receive full credit. (10 points)

Answer 1

Step-by-step explanation:

We know that

Volume of square pyramid = a² × h/3

=> (12)² × 8/3

=> 144 × 8/3

=> 48 × 8

=> 384 in³

Now,

We need to find ratio for finding the times of the volume

=> 3456/384

=> 9

Hence,

Volume of pyramid B is 9 times greater than the volume of pyramid A