2016 Pascal Problem 10

Exactly three faces of a 2\times2\times2 cube are partially shaded, as shown. (Each of the three faces not shown in the diagram is not shaded.) What fraction of the total surface area of the cube is shaded?

\textbf{(A)}\ \frac{1}{3}\quad \textbf{(B)}\ \frac{1}{4}\quad \textbf{(C)}\ \frac{1}{6}\quad \textbf{(D)}\ \frac{3}{8}\quad \textbf{(E)}\ \frac{2}{3}

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.