In a storm some containers fall off a ship into the ocean. The containers all have dimensions of 5.00 m x 3.20 m x 3.20 m.The density of water is 997 kg m3. a) One of the containers and its contents have a total mass of 1326 kg.Show that the container and contents will float, assuming it remains watertight. x=\frac{M}{k \rho} Where M is the mass of the container and its contents, p is the density of water and k has a numerical value of 16. Use unit homogeneity to determine the unit of the constant k, in theequation given in (b). A container was punctured in the side and starts to take on water. Asit does so it increases in mass. Derive an equation for the rate of-change of submerged depth, x, with mass, M. dx/dM The punctured container in (d) gains water at a rate of 4 kg s-1.This is expressed numerically as dM4dt Use your answer to (d) to show that, neglecting the units, the rate of sinking with respect to time is dx-dt=1/4p