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 cub
ic 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.
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
