A raised$-$ranch styled house is being built that will have exterior dimensions of $35-$ft by $50-$ft$.$ This house has a full basement. The natural grade of this site is at elevation $662\mathrm{.}50$ feet. The soil needs to be excavated down to a flat pad at elevation $656\mathrm{.}50$ feet. This site has OSHA Type A soil, thus a layback around the excavation of $0\mathrm{.}75$:$1($H:V$)$ is required. The excavation of the bottom pad needs to allow a one$-$foot clearance around the footers for worker accessibility. The footers will be formed on top of the pad. The footers are $24$ inches wide and $12$ inches thick. $12-$in CMUs will form the basement walls. The soil has a swell of $20\%.$ Show your work for maximum potential credit. $1)$ Determine the length and width dimensions of the bottom pad$\mathrm{.}2)$ Determine the top length and top width of the excavation$\mathrm{.}3)$ Determine the bank volume of soil to be removed$\mathrm{.}4)$ Determine the stockpile volume.