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 $\frac{1}{4}$ foot from the top face. The second cut is $\frac{1}{4}$ foot below the first cut, and the third cut is $\frac{1}{4}$ 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 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?