The plate in the figure is submerged in water with its top level with the surface of the water. The water level is $\sqrt[3]{3}$ ft. The right and left edges of the plate are the curves $y = x^{\frac{1}{3}}$ and $y = -x^{\frac{1}{3}}$ . Find the fluid force on a side of the plate. Note: The density of water is $62.5\text{ lb}/\text{ft}^3$.

$F=$ lb