Earthwork Volume Calculator

EARTHWORK

Earthwork Volume Calculator

Cut & Fill · Average end area · Prismoidal · Grid method · Quantities

m³ Cut / Fill

Cross-sections

Area at Section A (A₁)

m²

Area at Section B (A₂)

m²

Distance between sections (L)

                            Volume (Average End Area)
                            —
                            m³
                        

Average area — m²

Method Average End Area —

V = (A₁ + A₂) / 2 × L

Cross-section visualization

Average end area method — prismoidal correction optional

Prismoidal formula

Area at Section A (A₁)

m²

Area at mid-section (A_m)

m²

Area at Section B (A₂)

m²

Distance between sections (L)

                            Prismoidal volume
                            —
                            m³
                        

Average end area volume — m³

Difference — m³

V = L/6 × (A₁ + 4A_m + A₂)

Prismoidal comparison

Prismoidal method — uses mid-section area

Grid method

Grid spacing (s)

Number of grid points (n)

points

Cut depths (m) — comma separated

                            Total volume
                            —
                            m³
                        

Average depth — m

Number of cells — —

V = s² × Σ(depths) / n

Grid visualization

Grid method — depths at grid intersections

Trapezoidal rule

Area at Section A (A₁)

m²

Area at Section B (A₂)

m²

Area at Section C (A₃)

m²

Equal spacing (s)

                            Trapezoidal volume
                            —
                            m³
                        

Average area — m²

Number of segments — —

V = s × [(A₁ + Aₙ)/2 + ΣA_i]

Trapezoidal rule

Trapezoidal rule — multiple sections with equal spacing