Solve the Problem $R$ Is the Parallelepiped Enclosed by the Planes $6 x + y - z = 1,6 x + y - z = 3 , - x + 8 y + z = - 2 , - x + 8 y + z = 5$

Multiple Choice

Solve the problem.
-Evaluate


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

A) $\frac { 216 } { 161 }$
B) $\frac { 225 } { 161 }$
C) $\frac { 28 } { 23 }$
D) $\frac { 176 } { 161 }$