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

question 229

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) \(\frac { 176 } { 161 }\)