$3-$ Problem Statement

A motorway is going to be constructed on a $2\mathrm{.}0m$ high embankment. The top width of this embankment is going to be $30m$ with a side slope of IV: $2H.$ It is proposed that the borrow material for this embankment be excavated from ditches on both sides of this motorway embankment. It has been found out through geotechnical investigations that the in$-$situ material has a bulk density of $100l\frac{b}{f}{t}^3.$ The compacted density of the embankment is to be $115lb\frac{.}{f}{t}^3.$ Calculate the depth of $50m$ wide ditches $($on both sides of the embankment$)$ which would furnish the required quantity of borrow material. Assume that the moisture content of in$-$situ material $($soil$)$ is the same as that required during compaction.

$4-$ Objectives

Following outcomes are expected from your assigned task:

A$-$ Compute the depth of ditches.

B$-$ Required quantity of soil.