The volumes of two cubes are in the ratio 8:27. Find the ratio of their surface areas.
Given,
Ratio of two cube = 8:27
Let the edges of the cubes to x and y
As,
…………..(i)
Now,
The ratio of the surface areas of the cubes
⇒ 6x2/6y2
= (x/y)2
= (2/3)2 …………………….. [Using (i)]
= 4/9
= 4 : 9
So,
The ratio of the surface areas of the given cubes is 4 : 9.