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Cut and Fill Calculator

Enter the grid size, number of grids and average elevation difference to estimate cut and fill volumes for earthwork balance.

Input Data

Grid Size
m
Grid Count
grids
Avg Diff
m

Results

Cut
0m³
Fill
750m³

At a glance:Cut and fill balances excavation against backfill. Using the grid method, the site is divided into square cells of side L; total cell area = L² × grid count. Multiplying by the average elevation difference gives the net earthwork volume, which is reported as cut (ground lowered) when the difference is negative and as fill (ground raised) when positive. For detailed design each cell's own difference is used, but this calculator gives a quick whole-site estimate from the average. Balanced sites minimise haul-off and imported fill.

Formula

Cell area = grid size² × grid count

Net volume = cell area × average elevation difference

Cut / fill = net volume when negative / positive

$$A = L^2 \cdot n$$
$$V = A \cdot \bar{h}$$
$$V_{cut} = -V\ (V<0),\ V_{fill} = V\ (V>0)$$

How to Use

  1. Enter the grid side length (m).
  2. Enter the total number of grids on the site.
  3. Enter the average elevation difference (design minus original ground).
  4. The tool outputs the cut and fill volumes.

Case Studies

Fill-led platform

Grid 10 m, 20 grids, average difference +0.5 m.

Cell area 2000 m²; fill volume about 1000 m³.

Cut-led basement

Grid 10 m, 20 grids, average difference −0.5 m.

Cell area 2000 m²; cut volume about 1000 m³.

FAQ

Why use the grid method?

It is a standard, quick way to estimate earthwork from a spot-level survey; finer grids improve accuracy but need more field data.

What does a balanced site mean?

When cut and fill are roughly equal, excavated material is reused on site, reducing trucking and imported fill cost.

Related Tools

References

Content review: Calculatorism Editorial Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Cut and Fill Calculator(/construction/cut-fill)。