Question

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.

Answer 1

Answer:

12.5%    Step 1  to find volume of Pyramid A  Step 2 is find percentage through division then multiplication of 100  

Step-by-step explanation:   Length of one side of the base (a) = 14 in

Height of square pyramid (h) = 6 in

Using the square pyramid volume formula,

Volume = 1/3 x a^2 x h

Volume = 1/3 x 14^2 x 6

Volume = 392 in3

The volume Pyramid A is 392 cubic inches.

Pyramid A has a volume = 392 cubic units     Pyramid B has a volume of 3,136 cubic inches.    to find percentage 392 of 3136 we divide then * 100   To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator...  = (392/3136 ) x 100% = 12.5%   Proof is  (12.5 * 3136 ) / 100 = 392