Example

The table below contain the information about the cross $-$ sections with some missing. If the formation width increases uniformly from $9$ m in fill to $12$ m in cut and side slope $1$:$1\mathrm{.}5$ find $(1)$ the area of each cross $-$ sections $.(2)$ volumes of cut and fill $.$

$\backslash$table$[[$Station$,,,$Cross $-$ section$],[,,,$L$,,,$CL$,,,$R$],[($I$)60+90,81\mathrm{.}59,,\frac{C2\mathrm{.}24}{9\mathrm{.}36},,,\frac{C2\mathrm{.}24}{0},,,\frac{C2\mathrm{.}24}{9\mathrm{.}36}$