Construction & Materials
Earthwork End-Area / Prismoidal Calculator
Estimate cut/fill earthwork volume between two cross-section areas using the average end-area and prismoidal methods.
Your inputs
Change any value to update the result instantly.
Prismoidal volume
750 m³
Average end-area volume
750 m³
Prismoidal correction
0 m³
Volume in cubic yards
981 yd³
Formula and working
V(end-area) = (A1+A2)/2 × L; V(prismoidal) = L/6 × (A1+4Am+A2)
- 1
Collect the inputs
Cross-section area 1 = 20 m²; Mid-section area = 25 m²; Cross-section area 2 = 30 m²; Distance between sections L = 30 m
- 2
Apply the formula
V(end-area) = (A1+A2)/2 × L; V(prismoidal) = L/6 × (A1+4Am+A2)
- 3
Result
Prismoidal volume = 750 m³
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
Report a mistake or request an improvement
Tell us if a formula, unit, explanation, or result needs attention. Your message will include this calculator’s name and page.
Related calculators
Asphalt Tonnage Calculator
Estimate the tonnage of asphalt needed to pave an area at a given thickness and density.
Manning's Equation Calculator
Calculate open-channel flow velocity and discharge using Manning's roughness equation.
Pipe Diameter Calculator
Determine the required pipe diameter to carry a target flow rate at a maximum velocity.
Rational Method Runoff Calculator (Q=CIA)
Estimate peak stormwater runoff from a drainage area using the rational method, Q = CIA.
Roadway Curve & Superelevation Calculator
Calculate minimum horizontal curve radius and required superelevation rate for a design speed.
Board Feet Calculator
Calculate board feet of lumber from thickness, width, length and quantity.