If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is 8:1 (b) `2sqrt(3):1` (c) 2:1 (d) none of these

Explanation

Ratios of the volumes of two cubes are `8:1`

So, Volume of cube = `side^3`

Ratios: `V^'/V^('')=(S^')^3/(S^(''))^3`

`8/1=(S^')^3/(S^(''))^3`

`S^'/S^('')=2/1`

Ratios of their edges is `2:1`.

Hence, option(c) is correct.