A cubical cake with edge length 2 inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where M is the midpoint of a top edge. The piece whose top is triangle B contains c cubic inches of cake and s square inches of icing. What is c+s ?

**Answer Choices**

A. \dfrac{24}{5}

B. \dfrac{32}{5}

C. 8+\sqrt{5}

D. 5+\dfrac{16 \sqrt{5}}{5}

E. 10+5 \sqrt{5}