A right regular hexagonal prism is sliced as shown in the diagram. The bottom of the new solid is a regular hexagon ABCDEF. The six side faces are trapezoids perpendicular to ABCDEF. The top is a hexagon UVWXYZ that is not necessarily a regular hexagon. Of the six edges AU,BV,CW,DX,EY, and FZ, three have lengths 4,7 and 10. The largest possible value for AU+BV+CW+DX+EY+FZ is
Answer Choices
A. 42
B. 51
C. 69
D. 78
E. 91