Calculation of Volume of Earthwork in Embankment

To calculate the volume of earthwork in an embankment, we need to follow the below steps:

Step 1: Determine the cross-sectional area of the embankment.

Step 2: Calculate the length of the embankment.

Step 3: Multiply the cross-sectional area by the length to get the volume of earthwork.

Let's apply these steps to the given problem.

Step 1: Determine the cross-sectional area of the embankment.

The embankment has a length of 10m and a width of 7m. The side slope is 2:1, which means for every 2 units of horizontal distance, the vertical distance is 1 unit.

Therefore, the height of the embankment can be calculated as follows:

Height = (Side slope ratio) x (Width)
= 2/1 x 7
= 14m

The cross-sectional area of the embankment can be calculated as follows:

Cross-sectional area = (Width + 2 x Height) x Height
= (7 + 2 x 14) x 14
= 315 sq.m

Step 2: Calculate the length of the embankment.

The length of the embankment is given as 10m.

Step 3: Multiply the cross-sectional area by the length to get the volume of earthwork.

The volume of earthwork can be calculated as follows:

Volume of earthwork = Cross-sectional area x Length
= 315 x 10
= 3150 cubic metre

Therefore, the volume of earthwork in the embankment of 10m long and 7m width side slope 2:1 is 3150 cubic metre.