Ratio of perimeter (linear measure) is the same as the scale factor (5:6).
Ratio of area (unit squared) is the square of the ratio, namely 5^2:6^2=25:36
Ratio of volume (unit cubed) is the cube of the ratio, namely 5^3:6^3=125:216
For this case we must find the value of the following expression:

We have to:

Substituting:

By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
So:

So we have to:

Answer:

Option A
The larger number is 200. The ratio is 20:10 and 200 + 100 = 300.