A concrete cube $({}_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}\text{e}}=150\frac{lbs}{f{t}^3})$ is submerged in water and is connected to

the gate by a series of ropes and a pulley system. Assume the gate extends $1$ foot

into the page. Determine the volume of the concrete cube required to keep the gate

in the upright position. You may assume that the pulley system and weight of the

ropes have no effect on the system.