Question

Two aquariums are shaped like a rectangular prism the ratio of the dimensions of the larger aquarium to the dimensions of the smaller aquarium is 3 : 2

Eddie says the larger aquarium holds 50% more water than the smaller aquarium


Barry says that the larger aquarium was 150% more water


Cassie says that the larger aquarium holds 200% more water



Are any of them correct explain your reasoning





Please someone help me!!

Answer 1

Cathy was right ( kinda)

Explanation:

let the dimension of the small one be 2a : 2b : 2c

then the dimension of the big one be 3a : 3b : 3c

volume of small: 2a*2b*2c = 8 abc

volume of big: 3a*3b*3c = 27 abc

volume ratio: big/ small = 27/8 = 3.375

-> big one hold 237.5% more than small

-> Cathy was right ( kinda)