Cut and Fill Calculator

Enter the existing ground at four corners and your finished pad elevation to find the cut, the fill, and whether you have dirt to haul off or bring in.

Existing Ground at Each Corner
Elevations or rod readings converted to elevations, going around the pad A, B, C, D.
The grade you want the pad at.
Volume lost when bank soil is compacted.
Volume gained when dug, for hauling.
$
Fractions and decimals both work.
Cu. Yd.
Cut (bank)
Fill (compacted)
Fill the cut can make
Balance
Truckloads
Average depth
Hauling Cost

Grading List

Items you add are saved in this browser.

AreaSizeCut Yd³Fill Yd³Net Yd³LoadsRemove

How to Calculate Cut and Fill

Grading a pad means cutting down the high side and filling the low side. Subtract the finished elevation from the existing ground at each corner: a positive number is cut, a negative number is fill. When every corner is cut (or every corner is fill), the volume is the pad area times the average depth.

All cut or all fill: volume = area × (h₁ + h₂ + h₃ + h₄) ÷ 4

When some corners are cut and some are fill, the grade line crosses the pad. The four-point method used in surveying splits the volume between the two sides:

Cut = area × (Σ cut depths)² ÷ (4 × Σ all depths)   Fill = area × (Σ fill depths)² ÷ (4 × Σ all depths)

Σ all depths adds every corner's depth as a positive number. Divide cubic feet by 27 for cubic yards.

Shrink and Swell

Cut is measured in the ground (bank yards). Compacted into a fill, it takes up less room, so each bank yard of cut fills only 1 − shrinkage of a yard. Hauled in a truck, it takes up more room: bank × (1 + swell).

Fill the cut can make = cut × (1 − shrinkage)   Bank yards to import = shortfall ÷ (1 − shrinkage)

Worked Example

Typical Swell and Shrinkage

MaterialSwellShrinkage
Common earth25%20%
Loam, dry35%12%
Clay, damp40%10%
Sand, dry11%11%
Gravel, dry15%7%

Values compiled from Church (1981) and FHWA (2007) earthmoving references. Published figures vary widely with moisture and compaction effort; use your geotechnical report when you have one.

Tips

Four corners describe a flat, tilted plane. If the ground has a hump or a dip in the middle, split the pad into smaller squares, run each one, and add them up with the list below. Strip topsoil first and handle it separately; it shouldn't go into a structural fill. Balancing the site (cut close to fill) saves the most money on hauling.