Cube and Cube Roots

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 $$x^3+y^3+z^3=?$$