A one-cubic foot is cut into 4 pieces by 3 cuts parallel to the top face of the cube. The first cut is a half foot from the top face. The second cut is one third foot below the first cut, and the third cut is one seventeenth foot below the second cut. From the top to the bottom the pieces are labeled A, B, C and D. The pieces are then glued together end to end in the order of C, B, A, D to make a long solid as shown below. What is the total surface area of the solid in square feet?

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