A cubical box, $5\mathrm{.}00$ cm on each side, is immersed in a fluid. The pressure at the top surface of the box is $594$ Pa and the pressure on the bottom surface is $1133$ Pa$.$ What is the density of the fluid?

Group of answer choices

$2,340$ kg$/$m $3$

$1,000$ kg$/$m $3$

$1,100$ kg$/$m $3$

$12,000$ kg$/$m $3$

$1,220$ kg$/$m $3$