PROBLEM $1$

$-$Given the following sections

$1+020$

$\frac{a}{+0\mathrm{.}98},\frac{0}{+3\mathrm{.}5},\frac{b}{+0\mathrm{.}50}$

$1+080$

$\{\begin{array}{ccc}\text{:}[\frac{c}{-1\mathrm{.}85},& \frac{0}{-1\mathrm{.}20},& \frac{d}{-0\mathrm{.}42}]\end{array}$

Base for cut $=12m,$ Sideslope for cut $=2$:$1$

Base for fill $=12m,$ Sideslope for fill $=1$:$1$

Required:

$1.$Find the volume of excavation by end area method.

$2.$ Compute the volume of fill by end area.

PROBLEM $2$: Continue the last problem in $5-$level sections and determine the volume of fill and cut.