Solve the Problem $R$ Is the Parallelepiped Enclosed by the Planes $8 x + y - z = 1,8 x + y - z = 3 , - x + 2 y + z = - 2 , - x + 2 y + z = 5$

Multiple Choice

Solve the problem.
-Evaluate


where $R$ is the parallelepiped enclosed by the planes $8 x + y - z = 1,8 x + y - z = 3 , - x + 2 y + z = - 2 , - x + 2 y + z = 5$ $x - y + 2 z = - 1 , x - y + 2 z = 6$

A) $\frac { 729 } { 44 }$
B) $\frac { 180 } { 11 }$
C) $\frac { 735 } { 44 }$
D) $\frac { 169 } { 11 }$