Suppose the final level for filling is 24.1m. Then the required depth of
filling at each point is as given in the table below
The area on the side of each grid can be found out as follows
Each side can be considered as a trapezoid. Hence the area of each side
eg: (0.98+0.97)/2 x 5 = 4.875
(0.80+0.80)/2 x 5 = 4.000
Now the volume according to Simpson's rule is as follows
eg: (4.875+3.375)=8.25
4 x (4+3.75+3.925)=46.7
2 x (3.575+3.875)=14.9
Total = 69.85
Total earth filling
volume = 341.425 x (d/3)
=341.425 x (5/3) = 569.042 M^{3}
Note: We express thanks to
https://www.equantities.com/volumes.htm for bringing up an error in this
page to our notice which now has been rectified. You may download the excel
file detailing volume calculation using Trapizoidal Rule
here.
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