$(20$ points$)($total unit weight ${}_t=2\mathrm{.}0\frac{t}{m}3,$ water content $w=18\%,$ and specific gravity $G_s=2\mathrm{.}65).$

$,.($: please start from the assumptions or $($:$V_t=1\}..$

$(),.$

$(1)$ Dry unit weight ${}_d(\frac{t}{m^3})()$

$(2)$ Void ratio $e()$

$(3)$ Saturation $S()$