Find the side of a cube whose volume is `(24389)/(216)\ m^3dot`

Explanation

Given: Volume of the cube with side` a=24389/216 m^3dot`

`=>V=a^3`

`=>a=root(3)V`

`=>a=root(3)(24389//216) m^3dot`

`=>a=root(3)24389/root(3)216 m^3dot`

`=>a=root(3)(29 xx 29 xx 29)/root(3)(6 xx 6 xx 6) m^3dot`

`=> therefore a=29/6m`