Let A B C D be a rectangle and let \overline{D M} be a segment perpendicular to the plane of A B C D. Suppose that \overline{D M} has integer length, and the lengths of \overline{M A}, \overline{M C}, and \overline{M B} are consecutive odd positive integers (in this order). What is the volume of pyramid M A B C D ?
Answer Choices
A. 24 \sqrt{5}
B. 60
C. 28 \sqrt{5}
D. 66
E. 8 \sqrt{70}