QUESTION $5(20$ marks$)$

a$)$ A fill cross$-$section is shown Figure $2$ below. Assuming an interval spacing of $15$ feet between depth measurements. Calculate the area in square feet $(f{t}^2)$ of fill.

$(3$ marks$)$

b$)$ A section of cut has a volume of $1448y{d}^3($BCY$).$ If the swell factor is $35\%$ and the truck capacity is $12y{d}^3($loose$).$ Calculate the numbers of trucks required to haul the cut volume $($LCY$).$

$(3$ marks$)$

c$)$ A soil weighs $2750lb\frac{s}{y}{d}^3($BCY$)$ and $1950lb\frac{s}{y}{d}^3($LCY$).$ Calculate its swell.

$(2$ marks$)$

d$)$ A soil weighs $2750lb\frac{s}{y}{d}^3($BCY$)$ and $3400lb\frac{s}{y}{d}^3($CCY$).$ Calculate its shrinkage.

$(2$ marks$)$

e$)$ A conical soil pile will contain $75BCY$ from an excavation. The soil's angle of repose is $30$ degrees and the swell is $15\%.$ Calculate the height of the soil pile.

$(2$ marks$)$

f$)$ A triangle soil bank $36ft$ long will contain $110BCY$ from an excavation. The soil's angle of repose is $35$ degrees and the swell is $21\%.$ Calculate the height of the soil bank.

$(3$ marks$)$

g$)$ A piece of equipment has a first cost of $$27,000.$ Assuming a total lifespan of $8$ years and an annual rate of $5\%,$ calculate the equivalent annual cost.

$(5$ marks$)$