ANSWER
I) 5:11
ii) 5:11
iii) 125:1331
Step-by-step explanation
Let the side lengths be in the ratio:
x:y
This implies that the area will be in the ratio:

Take positive square root.


Hence the sides are in the ratio:
x:y=5:11
The perimeter of the smaller hexagon is 6×5=30
The perimeter of the larger hexagon is 6×11=66
The ratio of the perimeter is
30:66=5:11
The volume will be in the ratio
5³:11³
125:1331