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.