The soil borrow material to be used to construct a highway embankment has a mass unit weight of $105$ lb$/$cf and a water content of $6\mathrm{.}5\%,$ and the specific gravity of the soil solids is $2\mathrm{.}75.$ The specifications require that the soil be placed in the fill so that the dry unit weight is $112$ lb$/$cf and the water content be held to $6\%.$

a$.$ How many cubic yards of borrow are required to construct an embankment having a $600,000$ cy net section volume?

b$.$ How many gallons of water must be added per cubic yard of borrow material assuming no loss evaporation?

c$.$ If the compacted fill becomes saturated at constant volume, what will be the water content and unit weight?