29.8k views
5 votes
The ratio of the volume of two solids is 1331:729. What is the ratio of the surface area

User Radicaled
by
8.4k points

1 Answer

5 votes
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
User Abdulla Nilam
by
8.7k points