If the volumes of two cubes are in the ratio 729 to 1331, what is the ratio of their total surface areas?

Explanation

The ratio of the edges of the cubes is the cube root of their volume ratio: ∛729 : ∛1331 = 9 : 11. Since surface area scales with the square of the edge length, the ratio of their total surface areas is 9² : 11² = 81 : 121.