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Volume Calculation Summary - Pros & Cons

Summary Table:

Sl. No.

Method

Cutting Volume

Filling Volume

1

Section Method
Average Method(Trapezoidal)

4.125

934.725

Prismoidal Method

2.75

910.25

2

Average Method

742.5

3

Division of Square Method

930.6

4

Contour Method
Average End Area

934.721

Prismoidal Method

920.3


Summary of Volume Calculation Methods:

Methods

Methods / Formula

Advantages

Disadvantages

Applicability

Section MethodAverage End area (Trapezoidal method) 3 Methods of area Calculation
  • Trapezoidal Method
  • Nett area Method
  • Simpsons 1/3rd Rule
2 Volume calculation method
  • Average Area Method
Volume = Lx 1/2 (A1 + A2)
  • Prismoidal method
Volume = L /6x (A1 +4Am+ A2)
Mathematically, very good and hence adopted in majority of Civil Engineering Projects Involves a lot of calculations Used in most of the infrastructure ProjectsRoads, Irrigation Project, Rail Road Project
Average Method Volume=Depth of cutting/filling* area Easiest Method Approximate, and when both cutting and filling are there, it cannot be applied Used for very small projects
Box Method Volume=Depth of cutting/filling* area for all the blocks It Is very easy to calculate the area 1. Box method will nullify volume when both cutting and filling are there in the same block 2. The incomplete boxes which are less than half are neglected for the Area Calculation Commonly used to find volume for leveling projects before the construction of a building
Contour Method Volume Calculation2 Methods
  • Average Area
Volume = Lx 1/2 (A1 + A2)
  • Prismoidal
Volume= L (A + ÖAB+ B) / 3
Involves less mathematical calculation when a contour map with a contour area is available Can only find filling volume (Used for finding Capacity of dams) Used to find the capacity of Dams or Reservoirs

Volume Calculation - Contour Method