2019 Pascal Problem 10

Three 1 \times 1 \times 1 cubes are joined face to face in a single row and placed on a table, as shown. The cubes have a total of 11 exposed 1 \times 1 faces. If sixty 1 \times 1 \times 1 cubes are joined face to face in a single row and placed on a table, how many 1 \times 1 faces are exposed?

\textbf{(A)}\ 125\quad \textbf{(B)}\ 220\quad \textbf{(C)}\ 182\quad \textbf{(D)}\ 239\quad \textbf{(E)}\ 200

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.