Question

Ratio of surface area of two cubes is 1:4. Find the ratio of their volumes.Plz ANSWER WITH FULL WRITTEN WORK

Answer 1

Ratio of surface areas of two cubes is 1:4. find the ratio of their volumes.

Surface area of a cube = 6s^2 where s is the length of a side

Let the smaller surface area be 6s^2, where s=1
Then the larger surface area is 4(6s^2) = 6(4s^2) = 6(2s)^2, where side = 2 


So, smaller cube has volume s^3
and larger cube has volumne (2s)^3 = 8s^3

Ratio of their volumnes is 1:8

Answer 2

Ratio of surface area of two cubes 1:4.Find the ratio of their sides