Calculators › Cut / Fill

Cut / Fill Calculator

Estimate earthwork volumes for grading and excavation using the average end area method.

Inputs

Common soils: 20–30%. Rock: 30–50%.

For estimation purposes only. Terms of Use

Result

—
m³ bank measure
Average end area—
Bank volume—
Loose volume (w/ swell)—
  • Measure the end area at two adjacent sections (from cross-sections or a survey).
  • Average the two areas and multiply by the distance between sections — the average end-area method.
  • Apply the swell factor to convert bank volume to loose volume for hauling.
  • Formula Used

    Average End Area = (A1 + A2) ÷ 2
    Bank Volume = Average End Area × Distance
    Loose Volume = Bank Volume × (1 + Swell %)

    The average end area method is a standard approximation for earthwork volume between two surveyed cross-sections. For highly irregular terrain, more sections or a 3D survey method gives better accuracy.

    Worked Example

    Two sections measuring 120m² and 95m², 20m apart, with 25% swell:

    Average = (120+95)÷2 = 107.5 m²
    Bank Volume = 107.5 × 20 = 2150 m³
    Loose Volume = 2150 × 1.25 = 2687.5 m³

    When to Use This Calculator

    Use this for estimating cut or fill quantities between two surveyed cross-sections on a grading, road, or site development project.

    When Not to Use This Calculator

    Not a substitute for full 3D earthwork takeoff software on complex sites with many irregular sections. For tender-level quantities, use proper survey-based volume calculations.

    Frequently Asked Questions

    What's the difference between bank and loose volume? ▾

    Bank volume is material as it sits undisturbed in the ground. Loose volume is the same material after excavation, when it expands (swells) due to air gaps between particles — this is what fills a truck bed.

    How do I get the cross-sectional areas? ▾

    These typically come from a survey or design drawing showing the cut/fill area at each station along the alignment. A surveyor or engineer usually provides these.

    What swell factor should I use for clay? ▾

    Clay typically swells 25-35% when excavated. Always verify with a geotechnical report if available, since swell varies significantly with moisture content and clay type.