Note that the volume formula of a cube is :
where s = side of a cube
In a cube, all sides are equal.
And we know that the volume is s^3 which is definitely a cubic number.
Cubic number :
A number when multiplied by itself three times is a cubic number.
Getting the cube root of a perfect cube is like getting the measurement of one side of a cube given its volume.
When solving the side of a cube, we take the cube root of the volume.