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 3136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? What is the percent change from pyramid A to pyramid B? Provide an explanation and proof for your answer

Answer 1

volume of sq pyramid=1/3 b^2*h

Answer 2

volume of pyramid A = 1/3 * 196 * 6
=196*2
=392

Answer 3

Pyramid B has a volume of 3136 cubic inches
vol...a/b
=3136/392=8times

Answer 4

percent change = 392/3136 * 100
=12.5%

Answer 5

@lowcard2 do u get it

Answer 6

well if pyramid B is 8 times larger than pyramid A... when comparing volumes, the change can't be an increase of 12.5%

Answer 7

yeah is that all i right then??

Answer 8

yup.

Answer 9

thxx

Answer 10

welcome....

Answer 11

the scaling factor is correct for the volumes... but the percentage increase isn't correct...

New volume = 392 + 392 * 12.5/100
= 441

so if you say the volume of pyramid A has increased by 12.5% then the new volume is 441 cubic inches