The Joint Density Function for Random Variables $X , Y$ And $Z$

Short Answer

The joint density function for random variables $X , Y$ and $Z$ is $f ( x , y , z ) = C x y z$ for $0 \leq x \leq 2,0 \leq y \leq 4,0 \leq z \leq 1$ and $f ( x , y , z ) = 0$ otherwise. Find the value of the constant $C$ .
Round the answer to the nearest thousandth.