$1.$ Given the following cross sections $($Figure $1\mathrm{.}1$ and $1\mathrm{.}2),$ calculate the cut and fill areas at each as well as the cut and fill volumes between them.

Figure $1\mathrm{.}1$: $\backslash (4+500\backslash )$ Actual $($black$)$ and Design $($red$)$ Cross$-$Sections

Figure $1\mathrm{.}2$: $\backslash (4+600\backslash )$ Actual $($black$)$ and Design $($red$)$ Cross$-$Sections