The volumes of two cubes are in the ratio 8 : 27. The ratio of their surface areas is:
Answer & explanation
Correct answer: option 3
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