A one-cubic-foot cube is cut into four pieces by three cuts parallel to the top face of the cube. The first cut is \dfrac{1}{2} foot from the top face. The second cut is \dfrac{1}{3} foot below the first cut, and the third cut is \dfrac{1}{17} 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 C, B, A, D to make a long solid as shown below. What is the total surface area of this solid in square feet?
Answer Choices
A. 6
B. 7
C. \dfrac{419}{51}
D. \dfrac{158}{17}
E. 11