A one-cubic-foot cube is cut into three pieces by two cuts parallel to the top face of the cube. The first cut is foot from the top face. The second cut is foot below the first cut. From the top to the bottom the pieces are labeled A, B, and C. The pieces are then glued together side-by-side with their bottom faces aligned, forming a single stepped solid. What is the total surface area of this solid in square feet?
