Find the Average Value of F(x, Y, Z) Over the Given

Multiple Choice

Find the average value of F(x, y, z) over the given region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 6 } z ^ { 4 }$ over the rectangular solid in the first octant bounded by the coordinate planes and the planes $x = 2 , y = 1 , z = 3$

A) $\frac { 648 } { 5 }$
B) $\frac { 108 } { 35 }$
C) $\frac { 54 } { 5 }$
D) $\frac { 108 } { 5 }$