A total charge $7\mathrm{.}9106$ C is distributed uniformly throughout a cubical volume whose edges are $6\mathrm{.}0$ cm long.

$($a$)$

What is the charge density in the cube $($in C$/$m$3)?$

C$/$m$3$

$($b$)$

What is the electric flux $($in N $$ m$2/$C$)$ through a cube with $15\mathrm{.}0$ cm edges that is concentric with the charge distribution?

N $$ m$2/$C

$($c$)$

Do the same calculation for cubes whose edges are $19\mathrm{.}0$ cm long and $4\mathrm{.}0$ cm long.

$19\mathrm{.}0$ cm edge cube$=$ N $$ m$2/$C$4\mathrm{.}0$ cm edge cube$=$ N $$ m$2/$C

$($d$)$

What is the electric flux $($in N $$ m$2/$C$)$ through a spherical surface of radius $2\mathrm{.}0$ cm that is also concentric with the charge distribution?