An earth fill, when completed, will occupy a net volume of $219,000$ cy$.$ The borrow material

that will be used to construct this fill is stiff clay. In its bank condition, the borrow material has

a wet unit weight $($lambda$)$ of $132$ lb per cubic foot $($cf$),$ a water content of $($w$\%)15\mathrm{.}5\%,$ and in$-$

place void ratio $($e$)$ of $0\mathrm{.}730.$ The fill will be constructed in layers of $9$ in$.$ depth, loose measure

and compacted to a dry unit weight $($lambda d$)$ of $117$ lb per cf at the moisture content of

$16\mathrm{.}3\%.$ Computer the required volume of borrow pit excavation. $[20$ Points$]$