(Solved): 3. The soil at a borrow area is at moisture content of 7.5% and unit weight of 17.5kN/m3. This soil ...

3. The soil at a borrow area is at moisture content of $7.5\%$ and unit weight of $17.5\mathrm{kN}/{\mathrm{m}}^3$. This soil is used in the construction of a compacted road base where the dry unit weight is $19.5\mathrm{kN}/{\mathrm{m}}^3$ and the moisture content is $13.0\%$. if the finished volume of the road base is $150,000\mathrm{m}3$, what would be the volume of the soil removed from the borrow pit? How much water would be assed to the soil from the borrow pit? Hints: Find the weight of solids at the compacted road base $\begin{array}{l}{\mathrm{W}}_{\mathrm{s}}={\mathrm{V}}_{\mathrm{s}}{\mathrm{y}}_{\mathrm{d}}\\ {\mathrm{y}}_{\mathrm{d}}=\mathrm{y}/(1+\mathrm{w})\end{array}$ Find the volume removed using dry unit weight $\mathrm{V}=\mathrm{Ws}/{\mathrm{y}}_{\mathrm{d}}$