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Prizmoidal Formula for Series of Cross-Section of Road Calculator

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Quantity of Earthwork for Embankments Building Estimation

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Quantity of Earthwork in Hill Road

✖Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.ⓘ Distance between Consecutive Sections [D_{consecutive c/s}]			+10% -10%
✖Area of First Section defines the area of 1st starting c/s of the embankment.ⓘ Area of First Section [A_1st]			+10% -10%
✖Area of Last Section defines the area of the last cross-section of the embankment.ⓘ Area of Last Section [A_last]			+10% -10%
✖Odd Areas Sum presents a summed value of areas of cross section present at odd positions in your embankment.ⓘ Odd Areas Sum [Σ Odd areas]			+10% -10%
✖Even Areas Sum presents a summed value of areas of cross section present at an even position in your embankment.ⓘ Even Areas Sum [Σ Even areas]			+10% -10%

✖Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.ⓘ Prizmoidal Formula for Series of Cross-Section of Road [V_earthwork]

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Prizmoidal Formula for Series of Cross-Section of Road Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum))
V_earthwork = D_{consecutive c/s}/3*(A_1st+A_last+4*(Σ Odd areas)+2*(Σ Even areas))
This formula uses 6 Variables

Variables Used

Volume of Earthwork - (Measured in Cubic Meter) - Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.
Distance between Consecutive Sections - (Measured in Meter) - Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.
Area of First Section - (Measured in Square Meter) - Area of First Section defines the area of 1st starting c/s of the embankment.
Area of Last Section - (Measured in Square Meter) - Area of Last Section defines the area of the last cross-section of the embankment.
Odd Areas Sum - (Measured in Square Meter) - Odd Areas Sum presents a summed value of areas of cross section present at odd positions in your embankment.
Even Areas Sum - (Measured in Square Meter) - Even Areas Sum presents a summed value of areas of cross section present at an even position in your embankment.

STEP 1: Convert Input(s) to Base Unit

Distance between Consecutive Sections: 9000 Millimeter --> 9 Meter (Check conversion here)
Area of First Section: 7 Square Meter --> 7 Square Meter No Conversion Required
Area of Last Section: 17 Square Meter --> 17 Square Meter No Conversion Required
Odd Areas Sum: 250 Square Meter --> 250 Square Meter No Conversion Required
Even Areas Sum: 400 Square Meter --> 400 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_earthwork = D_{consecutive c/s}/3*(A_1st+A_last+4*(Σ Odd areas)+2*(Σ Even areas)) --> 9/3*(7+17+4*(250)+2*(400))

Evaluating ... ...

V_earthwork = 5472

STEP 3: Convert Result to Output's Unit

5472 Cubic Meter --> No Conversion Required

FINAL ANSWER

5472 Cubic Meter <-- Volume of Earthwork

(Calculation completed in 00.004 seconds)

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Created by Smriti Singh

MIT Academy of engineering, Pune (MITAOE), Alandi, Pune

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Gautam Buddha University (GBU), Greater Noida

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< Quantity of Earthwork for Embankments Calculators

Mean Sectional Area Method

LaTeX Go Volume of Earthwork = Length of Road Section*((Width of Formation Level*Height of Bank at Start Portion of Embankment)+(Side Slope*Height of Bank at Start Portion of Embankment^2)+(Width of Formation Level*Height of Bank at End Portion of Embankment)+(Side Slope*Height of Bank at End Portion of Embankment^2))/2

Mid Sectional Area Method

LaTeX Go Volume of Earthwork = Length of Road Section*(Width of Formation Level*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2))+Length of Road Section*(Side Slope*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2)^2)

Prizmoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum))

Trapezoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2

Prizmoidal Formula for Series of Cross-Section of Road Formula

LaTeX Go

About Prizmoidal formula for a series of c/s of road

The volume calculated by the prismoidal formula is based on the Simson’s 1\3rd rule. It is the most accurate method of calculating the volume. But to calculate the volume, the Trapezoidal method is mostly used. The difference of volume by both the formulas is known as a prismoidal correction.

How to Calculate Prizmoidal Formula for Series of Cross-Section of Road?

Prizmoidal Formula for Series of Cross-Section of Road calculator uses Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum)) to calculate the Volume of Earthwork, The Prizmoidal Formula for Series of Cross-Section of Road formula is defined as the calculation of earthwork quantity for the embankment considering the distance between consecutive sections and also the area of the section. Volume of Earthwork is denoted by V_earthwork symbol.

How to calculate Prizmoidal Formula for Series of Cross-Section of Road using this online calculator? To use this online calculator for Prizmoidal Formula for Series of Cross-Section of Road, enter Distance between Consecutive Sections (D_{consecutive c/s}), Area of First Section (A_1st), Area of Last Section (A_last), Odd Areas Sum (Σ Odd areas) & Even Areas Sum (Σ Even areas) and hit the calculate button. Here is how the Prizmoidal Formula for Series of Cross-Section of Road calculation can be explained with given input values -> 5472 = 9/3*(7+17+4*(250)+2*(400)).

FAQ

What is Prizmoidal Formula for Series of Cross-Section of Road?

The Prizmoidal Formula for Series of Cross-Section of Road formula is defined as the calculation of earthwork quantity for the embankment considering the distance between consecutive sections and also the area of the section and is represented as V_earthwork = D_{consecutive c/s}/3*(A_1st+A_last+4*(Σ Odd areas)+2*(Σ Even areas)) or Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum)). Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road, Area of First Section defines the area of 1st starting c/s of the embankment, Area of Last Section defines the area of the last cross-section of the embankment, Odd Areas Sum presents a summed value of areas of cross section present at odd positions in your embankment & Even Areas Sum presents a summed value of areas of cross section present at an even position in your embankment.

How to calculate Prizmoidal Formula for Series of Cross-Section of Road?

The Prizmoidal Formula for Series of Cross-Section of Road formula is defined as the calculation of earthwork quantity for the embankment considering the distance between consecutive sections and also the area of the section is calculated using Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum)). To calculate Prizmoidal Formula for Series of Cross-Section of Road, you need Distance between Consecutive Sections (D_{consecutive c/s}), Area of First Section (A_1st), Area of Last Section (A_last), Odd Areas Sum (Σ Odd areas) & Even Areas Sum (Σ Even areas). With our tool, you need to enter the respective value for Distance between Consecutive Sections, Area of First Section, Area of Last Section, Odd Areas Sum & Even Areas Sum and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Earthwork?

In this formula, Volume of Earthwork uses Distance between Consecutive Sections, Area of First Section, Area of Last Section, Odd Areas Sum & Even Areas Sum. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Earthwork = Length of Road Section*(Width of Formation Level*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2))+Length of Road Section*(Side Slope*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2)^2)
Volume of Earthwork = Length of Road Section*((Width of Formation Level*Height of Bank at Start Portion of Embankment)+(Side Slope*Height of Bank at Start Portion of Embankment^2)+(Width of Formation Level*Height of Bank at End Portion of Embankment)+(Side Slope*Height of Bank at End Portion of Embankment^2))/2
Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2

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