The ratio of the volume of two solids is 1331:729. What is the ratio of the surface area

Volume ratio = 1331/729 which is the cube of the linear scale factor.

To find the linear scale factor, let find the cubic root of the numerator & the denominator:

∛1331 = ∛11³ = 11

& ∛729 = ∛9³ = 9

So the linear scale is 11/9 = = > then the ratio of their surface area will be:

11²/9² = = > 121/81.

Note, if you have a linear scale, then the surface will be the square othis scale & the volume will be the cube of the linear scale