Find the Flux Of $\vec { F }$ Over the Closed Surface Let

Multiple Choice

Find the flux of $\vec { F }$ over the closed surface let $\vec{N}$ be the outward unit normal vector of the surface) .
$\overrightarrow { \mathbf { F } } ( x , y , z ) = 49 x y \hat { \mathbf { i } } + z ^ { 2 } \tilde { \mathbf { j } } + y z \tilde { \mathbf { k } }$
$S :$ cube bounded by $x = 0 , x = 2 , y = 0 , y = 2 , z = 0 , z = 2$

A) 200
B) 800
C) 400
D) 1,000
E) 600