I need help with the ratio of the edges of two cubes?

Question

The ratio of the edges of two cubes is 3:5.

I don't know how to find the ratio of the surface areas and ratio of the volumes of the cubes.

Answer 1

ratio of volume

volume of cube1: volume of cube2

3^3 : 5^3

27:125

ratio of SA

SA of cube1 : SA of cube2

3*3*6 : 5*5*6

54: 150 (simplify)

9:25

hope this helps

Answer 2

To find the ratio of the volumes, just cube the lengths:

3³ = 27

5³ = 125

So the ratio of the volumes is 27:125

There are 6 faces on a cube, so to find the ratio of the areas, just square each length and multiply it by 6.

3² x 6 = 9 x 6 = 54

5² x 6 = 25 x 6 = 150

So the ratio of the areas is 54:150