PART $1$

Use the grid averaging $($cross$-$section$)$ method to estimate the quantity of cut and$/$or fill required for a

${50}^{\text{'}}{50}^{\text{'}}$ grid with the following existing elevations at its four corners: ${90\mathrm{.}33}^{\text{'}},{98\mathrm{.}67}^{\text{'}},{92\mathrm{.}33}^{\text{'}},$ and ${95\mathrm{.}25}^{\text{'}}.$

Assume the proposed rough grade is ${96\mathrm{.}00}^{\text{'}}$ for all four corners. $($hint: the ${96}^{\text{'}}$ contour line divides the

cell into two sections with equal areas$)$

Estimate $($in loose cubic yards$)$ the quantity of topsoil that need to be removed and stockpiled for the

above building plan. Assume $10"$ of topsoil that need to be removed for an area extending $4^{\text{'}}$ beyond

the building footprint in each direction. The swell factor is $12$ percent.

Estimate $($in bank cubic yards$)$ the volume of soil to be removed for the mass excavation of the basement

area only of the above building plan. The foundation wall thickness is $l^{\text{'}}$ and the bottom of the

continuous footing is $9^{\text{'}}$ below the rough grade level. Assume $1^{\text{'}}$ of working space on each side and an

excavation slope of $1$:$1.$