### Cube and Cube Roots

goals
Find the cube root of the following number through estimation:
Find the smallest number by which the following number must be divided to obtain a perfect cube.
$\sqrt[3]{{27000}} =$
Find the Cube Using Identity (i) $105$ (ii) $27$ (iii) $45$
Let $x+y+z=0$ then the value of $x^3+y^3+z^3=?$