Question 25
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. What is the total surface area of this solid in square feet?
