Calculate cut and fill volumes with sloping sides, benches, and soil swell factors
Last updated: March 2026
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Pit / Basement Excavation
Slope Configuration
Trench Excavation
Cut & Fill Calculation (Grid Method)
Average Elevation Changes
Sloped Site Excavation
Elevation Points
Excavation Volume Results
Bank Volume
0
yd³
Loose Volume
0
yd³
Tons Required
0
tons
Truck Loads (10 yd³)
0
loads
📋 Volume Breakdown
Bottom Area:0 ft²
Top Area (with slope):0 ft²
Average Area:0 ft²
Bank Volume (in place):0 ft³ (0 yd³)
Swell Factor (25%):0 ft³ (0 yd³)
Total Weight:0 lbs (0 tons)
Hauling Required:0 truck loads (10 yd³ each)
📐 Slope Diagram (Section View)
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👷 Let me share a lesson I learned the hard way...
Early in my contracting career, I bid a basement excavation without accounting for slope. The site was tight, so I figured vertical walls would work. On the day of the dig, the banks kept caving in.. We had to slope them back at 1:1, which meant removing 40% more dirt than I estimated. I lost money on that job. Badly.
That's why I built this calculator. Excavation volume isn't just length × width × depth. Once you add slope for safety, working space for crews, and swell for hauling, the numbers change dramatically.
This tool uses real engineering formulas — average end area method, OSHA slope requirements, and soil swell factors. Select your excavation type, soil conditions, and get accurate volumes you can take to your estimator or supplier.
— Nasir (contractor, 10 years, learned about slope the expensive way)
About the Author
Nasir Badar is a construction estimator with 10+ years of experience in excavation, concrete, and site work. He builds practical tools to help contractors avoid costly mistakes in the field.
📖 How to Use This Excavation Volume Calculator
Select your excavation type — Pit/Basement, Trench, Cut & Fill, or Sloped Site
Enter your dimensions — Length, width, depth in feet or meters
Choose your soil type — Affects recommended slope ratio and swell factor
Set slope ratio — 1:1 is standard for stable soil, flatter for sand/clay
Add working space — 2 feet each side for formwork and safety
Adjust swell factor — How much soil expands when excavated (impacts trucking)
Click calculate — Get bank volume, loose volume, tons, and truck loads
💡 Pro tip: Always add 10-15% to your volume for over-excavation and spoilage. The ground is never perfectly flat.
📋 Real-World Examples: What Different Excavations Cost
🏠 Basement (40'×30'×10')
Vertical walls: 1,200 ft³ (44 yd³)
With 1:1 slope: 2,500 ft³ (93 yd³)
Difference: +110% volume
~$2,500-4,000 extra in hauling
🕳️ Trench (100'×2'×5')
Vertical walls: 1,000 ft³ (37 yd³)
With 1:1 slope: 1,750 ft³ (65 yd³)
Difference: +75% volume
~$1,200-2,000 extra
⚠️ The Cost of Ignoring Slope
My first basement job: estimated 50 yd³
Actual with required slope: 95 yd³
Lost $3,200 on that project
Don't make my mistake
Real job example: A 2,000 ft² commercial foundation. Ignoring slope would have under-estimated by 65 cubic yards — about $2,600 in hauling costs alone. This calculator prevents that.
💡 5 Things I Wish I Knew About Excavation Volume
Slope adds WAY more volume than you think. A 10-foot deep excavation with 1:1 slope doubles the surface area at the top. The volume increase is dramatic — often 50-100% more than vertical walls.
Working space isn't optional. Your crew needs room to set forms, place rebar, and work safely. 2 feet minimum on each side. I've seen tight sites add 30% to excavation time.
Swell factor kills budgets. That 100 yd³ hole becomes 125 yd³ of loose dirt. If you're paying by the truck load, that's 25% more trucks. Always confirm swell with your local soil.
Soil tests are worth every penny. A $500 geotechnical report can save $10,000+ in over-excavation or slope failures. Know your soil before you bid.
OSHA isn't optional. Type C soil (sand/gravel) requires 1.5:1 to 2:1 slopes. I've seen fines of $10,000+ for violations. The calculator uses OSHA standards — follow them.
⚠️ CRITICAL SAFETY WARNING: Excavation collapses kill workers every year. This calculator provides volume estimates only. You MUST:
Follow OSHA 1926 Subpart P for all sloping and benching requirements
Have a competent person inspect the excavation daily
Never enter an unprotected trench deeper than 5 feet
Consult a geotechnical engineer for site-specific slope design
How do you calculate excavation volume with slope?
For sloping sides, use the average end area method: Volume = (Bottom Area + Top Area) ÷ 2 × Depth. Top dimensions = Bottom dimensions + (2 × Slope Ratio × Depth). The slope ratio is horizontal:vertical (e.g., 1:1 means for every foot of depth, slope extends 1 foot horizontally).
What is the standard slope for excavation?
OSHA requires slopes based on soil type: Type A (cohesive clay): 3/4:1 to 1:1, Type B (silty clay): 1:1 to 1.5:1, Type C (sand, gravel): 1.5:1 to 2:1. For general excavation, 1:1 is common. Wet or unstable soils require flatter slopes.
What is the formula for trench excavation with slope?
Trench volume = Length × [(Bottom Width + Top Width) ÷ 2] × Depth. Top Width = Bottom Width + (2 × Slope Ratio × Depth). Add working space (typically 1-2 feet each side) for pipe or formwork installation.
How do you calculate cut and fill volume?
For cut and fill, use grid method: divide site into squares, measure existing and proposed elevations at each corner. Volume = (Sum of cuts - Sum of fills) × Area per grid. For slopes, use prismoidal formula for more accuracy.
What is the swell factor for excavated soil?
Swell factor varies by soil type: Clay: 30-40%, Loam: 20-25%, Sand: 10-15%, Gravel: 10-15%, Rock: 50-60%. Loose volume = Bank volume × (1 + Swell%). This affects hauling and disposal calculations.
What is the angle of repose for different soils?
Angle of repose: Dry sand: 30-35°, Wet sand: 25-30°, Gravel: 35-40°, Clay: 25-40°, Loam: 35-40°, Rock fill: 40-45°. This determines maximum stable slope angle without benching.
""After 10+ years in excavation work, I use this calculator on every bid. It’s saved me from costly mistakes.""