Problem: A roadway $6m$ wide is to be constructed over ground which has a slope of $1$ in $8$ at right angles to the direction of the road. The depth of cutting on the centre line at a point $A$ is $5m$ and at a point $B$ is $3m.$ The side slopes of the cutting will be $1$ in $1.$ The distance from $A$ to $B$ is $30m.$ Calculate the quantity of earth work requires between A and $B$ to make formation of the roadway.