$\backslash$begin$\{$tabular$\}\{$r$|$r$|$r$|$r$|$r$|$r$\}$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$c$\}$

Point $1$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Point $2$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Point $3$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$r$\}$

Point $4$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Point $5$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Point $6$ Elevation $\backslash \backslash$

from base $\backslash ((\backslash$mathrm$\{$ft$\})\backslash )$

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline $4\mathrm{.}053$ & $3\mathrm{.}975$ & $-3\mathrm{.}683$ & $1\mathrm{.}244$ & $-1\mathrm{.}322$ & $-4\mathrm{.}053$

$\backslash$end$\{$tabular$\}$ Instructions: You are the project engineer for a road design in a suburban Alabama town. Your supervisor has given you a preliminary route for a project, with the following information. This route will have both horizontal and vertical alignments. Please show your work on engineering paper according to the standard in the syllabus.

Earthwork

Your supervisor is taking you off the project and moving you to bigger and better things after seeing your thoroughly$-$documented work on the previous assignment. Before you move on$,$ however, your supervisor asked you to perform an approximate cut$/$fill volume check for the alignment past the horizontal and vertical curves to see if more vertical curves are necessary along the route. If there are more than $\backslash (30\backslash$mathrm$\{$vd$\}^\{3\}\backslash )$ of net cut or fill are necessary, more vertical curves are required.

Given the following three cross$-$sections, find the approximate area of each cross$-$section, making sure to denote if each cross$-$section is a cut section or a fill section. Use the average end$-$area method to find the volume between Station $50+00$ and $51+00($V$1),$ the volume between Station $51+00$ and $52+00($V$2),$ and a net volume for the entire route $($Vnet$).$ Finally, determine if more vertical curves are necessary along the route.

Round your volumes up to the nearest cubic yard. All side slopes are $3$:$1$ and the road will be $30$ feet wide. Heights to each point from the base are in the excel spreadsheet