Cut & Fill Calculator — ft, yd³ (Slope Grading)

Dimensions in feet · Volumes in yd³ · Swell factor, hauling & trucks
AASHTO · ASTM D698
Switch to Metric version →

How to use this calculator

Choose a method: Simple for uniform cut or fill across a known area, Two-Point for comparing existing grade vs desired grade across a length, or Grid for 4-corner elevation averaging. The calculator shows cut volume, fill volume, net earthwork, swell-adjusted hauling volume, and truck loads.

Swell factor — soil expands 20–50% when excavated. Clay ~35%, loam ~25%, sand ~15%, rock ~50%. Adjust the slider to match your soil type.
Trucks — based on standard 10 yd³ dump truck capacity.

Clay swell 30–40% Sand swell 10–20% Rock swell 40–60% 10 yd³/truck
Method & Dimensions
ft in
ft in
Positive = cut (remove soil) · Negative = fill (add soil)
ft in
Soil expands when excavated. Sand ~15% · Loam ~25% · Clay ~35% · Rock ~50%
%
Side Profile
Results
Earthwork Volumes
Cut Volume (bank)
yd³
Fill Volume (bank)
yd³
Net Earthwork
yd³ cut
Swell-Adjusted (loose)
yd³
Area
ft²
Truck Loads
10 yd³ trucks

Saved Calculations

TimeMethodArea ft²Cut yd³Fill yd³Net yd³Haul yd³Trucks
No saved calculations

How to Calculate Cut & Fill Volumes

This cut and fill calculator estimates earthwork volumes for site grading projects. Choose from three methods: Simple (uniform depth across a rectangular area), Two-Point (linear grade change from start to end), or Grid (4-corner elevation averaging). All volumes are in cubic yards with soil swell factor adjustment for hauling estimates.

Formulas

Simple: Volume = Area × Depth ÷ 27. Two-Point: At each end, difference = existing − desired. Volume = Area × average difference ÷ 27. Where cut and fill occur, the calculator splits at the crossover point. Grid: Average existing elevation = (C1+C2+C3+C4)/4, same for desired. Difference × Area ÷ 27. Swell: Loose volume = Bank volume × (1 + swell %).

Swell Factors by Soil Type

Sand/gravel: 10–20% · Loam/topsoil: 20–30% · Clay: 30–40% · Shale: 35–45% · Rock: 40–60%. The swell factor accounts for volume increase when soil is excavated and loaded loose.

FAQ

What is bank vs loose volume? Bank volume is soil in its natural compacted state. Loose volume is after excavation — it occupies more space due to air voids. How many trucks? Based on a standard 10 yd³ dump truck hauling loose material. Adjust for your truck capacity as needed.

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

Civil Engineer · 15+ yrs · structural design, geotechnics. Full bio →