$($Modified from Das $8^{th}$ Ed$.$ P$6\mathrm{.}6)$ The moist unit weight of the soil from the borrow site is $17\mathrm{.}3k\frac{N}{m^3}$

and the moisture content is $16\mathrm{.}0\%.$ The specific gravity of solids is $2\mathrm{.}72.$ This soil is to be excavated

and transported to a construction site for use in a compacted fill. If the specification calls for the soil to

be compacted to a minimum dry unit weight of $18\mathrm{.}1k\frac{N}{m^3}$ at the same moisture content of $16\%,$ how

many cubic meters of soil from the excavation site are needed to produce $2000m^3$ of compacted fill?

How many $20-$ton truckloads are needed to transport the excavated soil?