Confusion about bound surface current of a cube

[kevinlee]

If the magnetization vector is in the z direction, is the bound surface current of a cube always 0, since z cross z is 0, and x and -x cancels and y and -y cancels out?

 

[Meir Achuz]

There will be bound surface currents on the X-Y outer surfaces that circulate around the cube.
This is just like the surface currents on a circular rod. The shape is just different.