1. **Problem Statement:** Evaluate the triple integral $$\iiint xyz \, dx \, dy \, dz$$. 2. **Clarification:** To evaluate a triple integral, we need the limits of integration for $x$, $y$, and $z$. Since the problem does not specify limits, we cannot compute a definite integral. 3. **Assuming limits:** If the integral is over a symmetric region about zero, such as $[-a,a]$ for each variable, then because the integrand $xyz$ is an odd function in each variable, the integral evaluates to zero. 4. **Reasoning:** The function $xyz$ changes sign if any one of $x$, $y$, or $z$ changes sign. Over symmetric limits about zero, the positive and negative contributions cancel out. 5. **Conclusion:** Without explicit limits, the integral cannot be evaluated numerically. If the limits are symmetric about zero, then $$\iiint xyz \, dx \, dy \, dz = 0.$$