Use the Divergence Theorem to evaluate ${}_S$vec$(F)*vec(N)ds$

$F(x,y,z)=2$xhat$(i)-2$yhat$(j)+z^2$hat$(k)$

$S$ : cube bounded by the planes $x=0,x=4,y=0,y=4,z=0,z=4$

$512$

$1,024$

$16$

$32$

$256$