How do I solve this (you dont need to completely solve it, I just dont know how to properly solve it)

Question

Complete the table below with the proper ratios for comparing two similar solids. 

	Similarity Ratio	Area Ratio	Volume ratio
1.	1:7	(Blank 1)	(Blank 2)
2.	3:6	(Blank 3)	(Blank 4)
3.	(Blank 5)	25:4	(Blank 6)
4.	(Blank 7)	16:81	(Blank 8)
5.	(Blank 9)	(Blank 10)	1331:1728
6.	(Blank 11)	(Blank 12)	8:512

Answer 1

The area ratio is the square of the similarity ratio. So for #1, (1/7)² = 1/49 so the area ratio is 1:49.

The volume ratio is the cube of the similarity ratio. So for #1, (1/7)³ = 1/343 so the volume ratio is 1:343.

For #3, to find the similarity ratio, take the square root of the area ratio. So the similarity ratio = √(25/4) = 5:2. That means the volume ratio is (5/2)³ = 125:8.

For #5, take the cube root of 1331/1728 to get a similarity ratio of 11:12 then square 11:12 to get the area ratio