Let $x, y, z$ be positive real numbers such that $x+y+z=12$ and $x^3y^4z^5=(0.1) (600)^3$. Then $x^3+y^3+z^3$ is equal to :

Question

$\begin{array}{1 1} (1) 270 \\ (2) 258 \\ (3) 342 \\ (4) 216 \end{array}$