Solve the Problem $0 \leq x \leq 8,0 \leq y \leq 7,0 \leq z \leq 9$

Multiple Choice

Solve the problem.
-Find the centroid of the rectangular solid defined by $0 \leq x \leq 8,0 \leq y \leq 7,0 \leq z \leq 9$ .

A) $\bar { x } = \frac { 8 } { 3 } , \bar { y } = \frac { 7 } { 3 } , \bar { z } = 3$
B) $\bar { x } = 8 , \bar { y } = 7 , \bar { z } = 9$
C) $\bar { x } = 2 , \bar { y } = \frac { 7 } { 4 } , \bar { z } = \frac { 9 } { 4 }$
D) $\bar { x } = 4 , \bar { y } = \frac { 7 } { 2 } , \bar { z } = \frac { 9 } { 2 }$