Problem $8(1$ Point$)$ A cubic meter of dry $($no water$)$ quartz sand $($G s $=2\mathrm{.}65)$ with a porosity

of $60\%$ is immersed in an oil bath having a unit weight of $0\mathrm{.}92$ g$/$cm$3.$ How much force in

addition to the upthrust $($buoyant force$)$ is required to prevent the sand from sinking if the

soil contains $0\mathrm{.}27$m $3$ of entrapped air after submergence? $(1$kg$=9\mathrm{.}81$N$,$ Unit density of

water$=1000$ kg$/$m $3)$