Question

I the ratio of the surface areas of two cubes is 1:9, find the ratio of their volume
​

Answer 1

Answer: 1/27

Step-by-step explanation:

The ratio of the surface areas of two cubes is 1:9

So, a = 1/3

The ratio of the volume of two cubes is a³=1/27

Answer 2

Answer:

let surface area of one cube be x

and surface area of other cube be 9x

Then,

6a square=x

a square =x/6

a=√x/6

again,

6a square =9x

a square =9x/6

a=√9x/6

therefore

(√x/6)3: (√9x/6)3

(x/6)1/2*3 :( 9x/6)1/2*3

(x/6)3/2 : (9x/6)3/2

1:9