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Prizmoidal Formula for Series of Cross-Section of Road Formula

GoMid Sectional Area Method Formula

GoMean Sectional Area Method Formula

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Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk. Check FAQs

V earthwork = \frac{D consecutive c/s}{3} \cdot (A 1st + A last + 4 \cdot (Σ Odd areas) + 2 \cdot (Σ Even areas))

V_earthwork - Volume of Earthwork?D_{consecutive c/s} - Distance between Consecutive Sections?A_1st - Area of First Section?A_last - Area of Last Section?Σ Odd areas - Odd Areas Sum?Σ Even areas - Even Areas Sum?

Prizmoidal Formula for Series of Cross-Section of Road Example

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Here is how the Prizmoidal Formula for Series of Cross-Section of Road equation looks like with Values.

Here is how the Prizmoidal Formula for Series of Cross-Section of Road equation looks like with Units.

Here is how the Prizmoidal Formula for Series of Cross-Section of Road equation looks like.

5472 = \frac{9000}{3} \cdot (7 + 17 + 4 \cdot (250) + 2 \cdot (400))

5472m³ = \frac{9000mm}{3} \cdot (7m² + 17m² + 4 \cdot (250m²) + 2 \cdot (400m²))

5472 = \frac{9000}{3} \cdot (7 + 17 + 4 \cdot (250) + 2 \cdot (400))

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Prizmoidal Formula for Series of Cross-Section of Road Solution

Follow our step by step solution on how to calculate Prizmoidal Formula for Series of Cross-Section of Road?

FIRST Step Consider the formula

V earthwork = \frac{D consecutive c/s}{3} \cdot (A 1st + A last + 4 \cdot (Σ Odd areas) + 2 \cdot (Σ Even areas))

Next Step Substitute values of Variables

∴

V earthwork = \frac{9000mm}{3} \cdot (7m² + 17m² + 4 \cdot (250m²) + 2 \cdot (400m²))

Next Step Convert Units

∴

V earthwork = \frac{9m}{3} \cdot (7m² + 17m² + 4 \cdot (250m²) + 2 \cdot (400m²))

Next Step Prepare to Evaluate

∴

V earthwork = \frac{9}{3} \cdot (7 + 17 + 4 \cdot (250) + 2 \cdot (400))

LAST Step Evaluate

∴

V earthwork = 5472m³

Prizmoidal Formula for Series of Cross-Section of Road Formula Elements

Variables

Volume of Earthwork

Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.

Symbol: V_earthwork

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Earthwork

Distance between Consecutive Sections

Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.

Symbol: D_{consecutive c/s}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Consecutive Sections

Area of First Section

Area of First Section defines the area of 1st starting c/s of the embankment.

Symbol: A_1st

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of First Section

Area of Last Section

Area of Last Section defines the area of the last cross-section of the embankment.

Symbol: A_last

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Last Section

Odd Areas Sum

Odd Areas Sum presents a summed value of areas of cross section present at odd positions in your embankment.

Symbol: Σ Odd areas

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Odd Areas Sum

Even Areas Sum

Even Areas Sum presents a summed value of areas of cross section present at an even position in your embankment.

Symbol: Σ Even areas

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Even Areas Sum

Other Formulas to find Volume of Earthwork

Go Mid Sectional Area Method

V earthwork = L section \cdot (B \cdot (\frac{d 1 + d 2}{2})) + L section \cdot (S \cdot {(\frac{d 1 + d 2}{2})}^{2})

Go Mean Sectional Area Method

V earthwork = L section \cdot \frac{(B \cdot d 1) + (S \cdot {d 1}^{2}) + (B \cdot d 2) + (S \cdot {d 2}^{2})}{2}

Go Trapezoidal Formula for Series of Cross-Section of Road

V earthwork = D consecutive c/s \cdot \frac{A 1st + A last + 2 \cdot (Σ Remaining areas)}{2}

Other formulas in Quantity of Earthwork for Embankments category

Go Sloping Surface Area of Embankment

A sloping = L section \cdot d mean \cdot \sqrt{{(S)}^{2} + 1}

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

Prizmoidal Formula for Series of Cross-Section of Road evaluator 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 evaluate 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 evaluate Prizmoidal Formula for Series of Cross-Section of Road using this online evaluator? To use this online evaluator 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.

FAQs on Prizmoidal Formula for Series of Cross-Section of Road

What is the formula to find Prizmoidal Formula for Series of Cross-Section of Road?

The formula of Prizmoidal Formula for Series of Cross-Section of Road is expressed as Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum)). Here is an example- 5472 = 9/3*(7+17+4*(250)+2*(400)).

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

With 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) we can find Prizmoidal Formula for Series of Cross-Section of Road using the formula - Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum)).

What are the other ways to Calculate Volume of Earthwork?

Here are the different ways to Calculate Volume of Earthwork-

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

Can the Prizmoidal Formula for Series of Cross-Section of Road be negative?

No, the Prizmoidal Formula for Series of Cross-Section of Road, measured in Volume cannot be negative.

Which unit is used to measure Prizmoidal Formula for Series of Cross-Section of Road?

Prizmoidal Formula for Series of Cross-Section of Road is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Prizmoidal Formula for Series of Cross-Section of Road can be measured.

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Prizmoidal Formula for Series of Cross-Section of Road Formula

​GoMid Sectional Area Method Formula

​GoMean Sectional Area Method Formula

Prizmoidal Formula for Series of Cross-Section of Road Example

Prizmoidal Formula for Series of Cross-Section of Road Solution

Prizmoidal Formula for Series of Cross-Section of Road Formula Elements

Other Formulas to find Volume of Earthwork

Other formulas in Quantity of Earthwork for Embankments category

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

FAQs on Prizmoidal Formula for Series of Cross-Section of Road

Variable Name

GoMid Sectional Area Method Formula

GoMean Sectional Area Method Formula