The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is:

4 : 9

We have,

The volumes of two cubes are in the ratio 8 : 27

We know that the volume of a cube = side³

so, if their ratio of volume is 8 : 27 then the ratio of their sides will be 2 : 3

And the area of a cube = 4πr²

so, 4π is constant in both the areas and thus we can neglect it.

so their area will be in 2² : 3²

= 4 : 9