AtlasCalcsUtility Calculation Suite
2026-09-23 8 min read

Slope Fill Calculator

Free slope fill calculator — calculate slope fill volume on H:V slopes with swell, loads and cost. Includes live results, step-by-step working, charts, material takeoff and cost estimates. No sign-up.

Calculator

Slope length(ft) Help
ft

Along the slope toe

Slope height(ft) Help
ft

Vertical

Slope ratio(H:V) Help
H:V

Horizontal per 1 vertical

Swell(%)
%
Price (optional)($/bank yd) Help
$/bank yd

Blank to skip

Slope plan

ItemAmount
Slope volumeBank yards133.33 cu yd
LooseHaul this166.67 cu yd
Haul loadsAt 14 cu yd each11.9

How to use this result

  • Primary result: 133.33 cu yd — verify it against a rough hand check before ordering.
  • Read the steps section to see every conversion and the exact formula path.
  • Use the breakdown table on the left as your order or bid checklist.
  • Re-run with worst-case dimensions so the plan covers the whole job.

Results

Normal

Slope volume

133.33cu yd

Bank yards

Loose yards

166.67cu yd

With swell

Haul loads

11.9loads

At 14 cu yd each

Live results update as you type — currently showing 133.33 cu yd. Replace the defaults with your own measurements for exact results.

Visualizations

Bank vs loose (cu yd)

133.3Bank
166.7Loose

Bank vs swell

Bank80%
Swell20%

Formula

Slope volume is the triangular section extruded along its length.

V = ½ × H × (H×S) × L ÷ 27

Variables

SymbolNameUnitDescription
H, SHeight, ratioft, H:VSection legs.
LLengthftToe length.
VVolumecu ydBank yards.

Explanation

Half-height-times-run section at full precision times length over 27; swell sizes haul.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Triangular cross-section (H:V slope).

½ × 6 × 12.00
Result: 36.0 sq ft section
Step 2

Extrude along the length.

36.0 × 100 ÷ 27
Result: 133.33 bank · 166.67 loose
Final Answer
133.33

Worked Examples

See how the calculator works with different scenarios.

Scenario

The calculation run on the values above, showing the full path rather than only the answer.

Inputs

Result:133.33 cu yd

Calculation

1. Triangular cross-section (H:V slope). → 36.0 sq ft section 2. Extrude along the length. → 133.33 bank · 166.67 loose

Result

133.33 cu yd

Interpretation

Probe every pad and trench, separate topsoil from spoil, and book trucks to the loose volume — not the bank figure.

Understanding Your Result

Your Result: Slope volume: 133.33 cu yd

Typical range: Pickup ~2 cu yd · dump truck 10–16 loose cu yd · trench 1 ft × 100 ft × 4 ft ≈ 15 bank cu yd.

What This Means

Your result is 133.33 cu yd — the bank and loose volumes, truckloads and cost for your slope fill

Why It Matters

Earthwork is the first money spent and the easiest to misjudge: swell multiplies spoil, haul distances multiply cost, and rock stops everything. Quantities first keeps the site moving.

Professional Interpretation

Probe every pad and trench, separate topsoil from spoil, and book trucks to the loose volume — not the bank figure.

How this is calculated

Volume is ½ × height × (height × ratio) × length ÷ 27. Soil factors apply last; trucks round up.

What drives the result

The inputs in a single consistent unit and the allowance or price you apply.

Recommendations

  • •Verify critical dimensions on site before ordering.
  • •Keep one unit throughout each calculation.
  • •Add the trade allowance before buying, not after.
  • •Attach the step-by-step working to bids and records.

Educational Content

Introduction

Earthwork quantity is geometry with soil factors: bank volume from dimensions, loose with swell, compacted with shrinkage, trucks from payload.

Concept Explanation

Volume is ½ × height × (height × ratio) × length ÷ 27. Soil factors apply last; trucks round up.

Applications

▸Pad, trench and basement takeoffs
▸Cut, fill and balance planning
▸Haul truck scheduling and spoil piles
▸Topsoil, base and bedding quantities
▸Grading and compaction estimates

Benefits

  • •Bank, loose and compacted figures together
  • •Swell and compaction factors built in
  • •Truckloads rounded up for scheduling
  • •Free, no sign-up, works on site from a phone

Limitations

  • •Two-dimensional math unless stated otherwise — slopes and curves need the right tool
  • •Results are only as good as the site measurements
  • •Allowances and prices are estimates — confirm with local quotes

Best Practices

  • •Measure twice and write measurements down before typing them in
  • •Keep one unit throughout each calculation
  • •Photograph the tape on large or disputed measurements
  • •Re-run with worst-case numbers so the plan covers the whole job

Common Misconceptions

Myth: The calculator replaces site verification.
Truth: It replaces the arithmetic, not the tape measure — always verify before ordering.
Myth: One decimal place is always enough.
Truth: On long runs, rounding early compounds. Enter full measurements and let the tool round at the end.
Myth: Metric and imperial give different answers.
Truth: They are the same physical quantity in different units — conversion is exact.

Practical Tips

  • •Enter full measurements and let the tool round at the end.
  • •Use the steps section to double-check the formula path.
  • •Save or share the result link with the crew and the supplier.
  • •Re-run with worst-case dimensions for a safe order.

Common Mistakes

Rounding measurements before calculating.
Enter the full tape reading; rounding early compounds across a job.
Mixing units between fields.
Pick one unit in the dropdown so every conversion is consistent.
Forgetting to verify on site.
Plans differ from as-built work — confirm critical dimensions.
Ordering the bare result with no allowance.
Add the trade waste or contingency factor before buying.

Assumptions

This calculator makes the following assumptions to provide estimates:

Consistent units: All inputs share the selected unit system.
Standard geometry: Flat-plane Euclidean formulas unless stated.
Full precision: Rounding happens only on display, never mid-calculation.

Limitations

Be aware of these limitations when using this calculator:

Estimates, not quotes: Allowances and unit prices vary by region — get 2–3 local quotes.
Verify on site: Confirm critical dimensions before ordering or cutting.

Frequently Asked Questions

Answers to common questions about this calculator.

How do I calculate slope fill volume?
Triangular section (½ × height × height × slope-ratio) extruded along the length ÷ 27. Flatter slopes move far more dirt.
What slope ratio is stable?
2:1 (H:V) or flatter for most fills without reinforcement; steeper needs walls or geogrids plus drainage.
Bank vs loose yards — what is the difference?
Bank yards are in-place; loose yards are after digging, swollen 20–35%. Trucks and spoil piles are loose; pay quantities are usually bank.
How accurate is this calculator?
Exact for the dimensions entered. Probe depths and check soil type — subgrade variation and rock move real quantities.
What does the cost estimate include?
Dig, haul or fill at your unit rates on the computed quantities. Rock, dewatering, shoring and testing price separately.
When do I need shoring or sloping?
OSHA requires protection at 5 ft depth and deeper (4 ft in some states). Plan the system before the excavator arrives.
How do I balance cut and fill?
Shrink the cut (divide by ~1.15) to compacted yield, subtract the fill: positive exports, negative imports. Balanced sites haul the least.
What is shrinkage vs swell?
Swell grows dug soil (bank to loose); shrinkage compacts it back smaller than bank (cut to compacted fill). Both move money in opposite directions.
How do I estimate grading production?
Dozers move 50–150+ bank yards/hour by push distance and soil; excavators 30–80. Use fleet history, never brochure peaks.
What slope ratio is stable for fills?
2:1 horizontal-to-vertical or flatter for most unreinforced fills; steeper needs walls, geogrids and drainage design. Water, not angle, usually fails slopes.
How do I set grade stakes?
Hubs with cut/fill marks to finish elevation, guarded and offset from traffic. Stake finish, not cuts — crews build to the lath.
How much does fill shrink when compacted?
About 10–20% (15% typical): 100 loose yards yield roughly 87 placed. Order loose to the placed need.
How many lifts does an embankment need?
Height divided by 8–12 in lift depth, each compacted and tested. Thick dumped lifts never compact through, however long you roll.
What is optimum moisture for compaction?
The water content giving maximum density for that soil — dry of it will not compact, wet of it pumps. Field techs test it; crews feel it with experience.
How do I measure a stockpile?
Cone volume: pi times radius squared times height divided by 3. Measure base diameter and peak height; the repose check validates the shape.
How much clearing debris per acre?
Roughly 20 loose yards for light brush, 40 medium, 80+ heavy timber — plus stumps. Chip, burn where allowed, or haul.
What permits does earthwork need?
Grading, erosion control, tree, wetland and haul-route permits vary by jurisdiction. Fines exceed the dirt cost — check before the first push.
How do I control erosion during earthwork?
Silt fence, stabilized entrances, staged clearing and quick stabilization. Inspect after every rain — regulators do.
How do I measure correctly for the slope fill calculator?
Measure twice with a tape or laser, write every reading down before typing it in, and keep one unit throughout. Photos of the tape protect you on disputed dimensions.
What units does the slope fill calculator use?
Whatever unit you select — pick one and use it for every field so conversions stay consistent. Results convert to the common trade units automatically.
How accurate is the slope fill calculator?
Exact for the numbers entered: all math runs at full precision and rounds only for display. Field accuracy depends on your measurements, so verify critical dimensions on site.
Can I use the slope fill calculator for bids and quotes?
Yes — the steps section shows the full working, and the breakdown table lists order quantities. Attach both to bids so clients see net figures and allowances separately.
Should I add waste or contingency to the result?
Yes. Add the trade waste factor (5–20% depending on material) before ordering, and carry a separate 5–10% budget contingency for price movement and surprises.
Why is my result different from my supplier quote?
Quotes include delivery, minimums, pack-size rounding, tax and regional pricing on top of bare quantities. Compare the net quantities first, then the add-ons.
Do I need a professional for this work?
Measuring and budgeting you can do yourself with this tool. Structural design, permits, licensed trades and inspections still need qualified professionals.
How do I convert the result to other units?
Use the results dashboard conversions, or the dedicated conversion calculators for length, area, volume and weight. Convert each linear dimension before combining into areas or volumes.
What mistakes do beginners make with the slope fill calculator?
Rounding measurements too early, mixing units between fields, ordering the bare result with no allowance, and skipping site verification. The mistakes section on the page covers each one.
Can I share the slope fill calculator result with my crew or supplier?
Yes — use the Share result button to send the headline figure and link. The supplier can re-run your numbers from the same inputs.
Does the slope fill calculator work on a phone at the job site?
Yes — every page is mobile-friendly with no sign-up. Bookmark the tools you use daily for one-tap takeoffs.
How often should I re-run the slope fill calculator?
Re-run whenever dimensions change, prices move, or you switch materials. Early estimates, pre-order checks and final buy quantities each deserve a fresh run.

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Related Guides

Deepen your understanding with these educational resources.

Glossary

Technical terms used in mortgage calculations explained in plain language.

Bank cubic yard
One cubic yard of undisturbed in-place material.
Loose cubic yard
Excavated material after swell — typically 20–35% more than bank.
Swell
Volume growth when soil is dug (20–35% for most soils, up to 50%+ for rock).
Compaction
Mechanical densification of placed fill, usually in 8–12 in lifts.
Cut / fill
Ground removed (cut) or placed (fill) to reach design grade.
Spoil
Excavated material not reused as fill.
cu yd
The primary unit reported by this calculator.

Authoritative References

Trusted sources and standards referenced by this calculator.

Applicable Standards

OSHA: sloping, benching or shoring for trenches 5 ft and deeperSwell 20–35% for soils (bank → loose); compaction ~15% (loose → compacted)Haul trucks typically 10–16 cu yd loose per loadCall utility locators before any digging

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Page Information

Last Updated:

2026-09-23

Version:

2.0.0

License:

Free to use for educational and professional purposes.