When the magnetization vector of a cube is aligned in the z direction, the bound surface current is not zero. While the z components do cancel, bound surface currents exist on the X-Y outer surfaces, creating circulation around the cube. This phenomenon is analogous to the surface currents found on a circular rod, despite the difference in shape. The discussion highlights the importance of considering all surfaces when analyzing bound surface currents. Understanding these currents is crucial for applications in magnetism and material science.