Posted by Karl on Monday, October 10, 2011 at 6:39pm.
Let the box bottom be centered at the origin, with sides parallel to the x and y axes.
The center of mass is at x = 0 and y = 0 for reasons of symmetry. For the z coordinate, take the area-weighted mean of the z coordinates of the centers of the four sides and bottom. That would be
z = 4*20/5 = 16 cm
(0,0,16)
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