Question

If the volumes of two cubes are in the ratio 8: 1, then the ratio of their edges is

Options

• 8 : 1

• 2`sqrt(2):1`

• 2 : 1

•  none of these

Answer 1

Let,

 `V_1-V_2`→ Volumes of the two cubes

`a_1,a_2→` Edges of the two cubes

We know that,

V = a³

So,

`V_1/V_2 = (a_1^3)/(a_2^3)`

`8/1 = (a_1/a_2)^3`

`a_1/a_2 = 2:1`

Ratio of their edges is 2:1 .