If the volumes of two cubes are in the ratio 27 to 125, what is the ratio of their surface areas?

Explanation

Given the volume ratio of two cubes is 27:125, the ratio of their edges is the cube root of these values, which is 3:5. Since surface area of a cube is proportional to the square of its edge length, the surface area ratio is (3^2):(5^2) = 9:25.