The diagram shows a hexagonal nut with thickness of 4 mm. The distance from the center of the hole to the midpoint of the side of the nut is 5 mm. The hole in the center of the nut has a diameter of 5 mm. The nut has to be painted inside and outside.

If the length of one side of the nut is 10/√3 mm,Calculate the total surface area to be painted in cm^2.