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Excavation Volume Calculator

Calculate the cut and fill volume of earth for basements, footings, trenches, pools and grade changes. Free excavation calculator for swell, compaction, truckloads and hauling in cubic yards or cubic metres.

Excavation
Soil & Hauling
Cut & Fill Balance
Live Estimate
bank volume
loose volume
How the estimate works

About Excavation Volume Calculator

Excavation is where a project first reveals its surprises. The drawing says a hole, but the hole is three volumes at once: the soil that sits in the ground, the bigger pile of it once disturbed, and the smaller, compacted mass when you put it back. Order hauling on the wrong volume and you will pay for a second truck run; design a "balanced" cut and forget the swell, and you either export dirt or import it.

Excavation Volume Calculator works across the three ways earthmoving is actually measured — bank (in-place), loose (excavated) and compacted (placed) — for rectangular holes, sloped excavations, trenches and simple grade changes. Enter a side slope and it applies the trapezoidal prism formula that every basement, pool and footing dig really has. Then it converts your loose volume into truckloads and multiplies by a per-yard or per-load rate for a quick earthmoving budget.

The cut-and-fill tab handles levelling work directly: compare the volume you need to remove with the volume you need to place, and see whether the site balances or requires importing or hauling. Everything runs locally in your browser.

Features

  • Four dig shapes: Box (cube), sloped excavation (trapezoidal prism), trench and grade change, matching how real holes are made.
  • Bank, loose & compacted: All three earthmoving volumes from your swell and compaction factors, in cubic yards, cubic metres and cubic feet.
  • Side slopes: Enter the horizontal/vertical slope (e.g. 1.5:1) and the calculator expands the top footprint with wedge volumes automatically.
  • Truck & hauling: Convert loose volume to loads on your truck capacity, with a per-load or per-yard rate for the budget.
  • Cut & fill balance: Compare required cut vs available fill at different grades to see net import, export, or a balanced site.
  • Rate estimates: Enter cost per cubic yard and see the excavation budget grow with your volume.
  • Imperial or metric: Work in feet/inches or metres, with all three volume units reported together.
  • Live estimate: Volume, trucks and cost update as you type, with the formulas shown step by step.
  • Export: Copy or download the earthwork report as text, CSV or JSON.
  • Learning guide: Swell and compaction tables, slope guidance, frost depth and earthmoving best practice.

How to Use

  1. Choose the dig shape. Box for a plain pit, Sloped for walls that batter back (basements, pools), Trench for pipe/footing runs, and Level for a simple grade change.
  2. Enter length, width and depth. Use the average depth for uneven floors.
  3. Set the side slope (sloped mode). 1.5:1 is typical for loose soil, 1:1 for firm ground, 0 for vertical walls.
  4. Pick the soil type. The calculator sets a typical swell factor; adjust it for the material and moisture.
  5. Set truck capacity. 10–17 cu yd for standard dump trucks, or your hauler's actual capacity.
  6. Add the rate. Per cubic yard or per load to build a budget from your machine and haul costs.
  7. For levelling, use cut & fill. Enter the cut depth and fill depth for the same area to see the net movement.
  8. Read the estimate. Bank, loose and compacted volumes plus truckloads appear instantly.
  9. Review the working. The maths shows the prism formula, slope wedges and swell conversion.
  10. Export the report. Copy or download as text, CSV or JSON for the excavator or hauler.

Examples

Example 1 — Basement. A 30×20 ft basement dug 8 ft deep with 1.5:1 slopes: the plain box is 178 cu yd, and the slope wedges push the total to roughly 210 cu yd bank. At 1.25 swell that is ≈ 262 cu yd loose → about 15 loads in 17-cu-yd trucks.

Example 2 — Footing trench. A 60 ft × 2 ft × 3 ft trench (straight sides) holds 360 cu ft ≈ 13.3 cu yd bank. At 1.2 swell that hauls as 16 cu yd — slightly more than one 17-cu-yd load.

Example 3 — Balanced grade. Cut 4 in and fill 6 in over a 50×40 ft pad: cut is 24.7 cu yd, fill needs 37.1 cu yd (compacted), so the site must import about 12.4 cu yd net plus swell on the loose fill.

Example 4 — Pool. A 16×32 ft pool, 8 ft average depth, 1.5:1 side slopes: bank volume ≈ 150 cu yd, loose ≈ 188 cu yd at 1.25 swell, or ~11 loads of 17 cu yd each to haul the spoil.

Example 5 — Checking a quote. A contractor quotes 200 cu yd removed. The calculator at your dimensions says 178 cu yd bank / 223 cu yd loose — the loose number is what trucks carry, so the quote is believable once you know which one he meant.

Benefits

  • Three volumes, one tool: Bank, loose and compacted never get mixed up again — order and haul the right number.
  • Slopes included: Real holes batter back; the calculator sizes the wedge, not just the box.
  • Cut/fill balance at a glance: See whether you export, import or balance the site before the machine arrives.
  • Budget-ready: Per-yard and per-load rates turn volume into a number you can price.
  • Metric and imperial: Feet and metres both travel the same prism and swell maths.
  • Explainable numbers: Every figure traces back to the formula, slope and swell in the working line.
  • Export-ready: Text, CSV and JSON reports hand straight to the hauler or the invoice.
  • Free and private: No uploads, no accounts, no logging.

Frequently Asked Questions

How do I calculate the volume of an excavation?
Multiply the length by the width by the average depth, then add the volume of any side slopes. A 30×20 ft basement dug 8 ft deep holds 4,800 cu ft ≈ 178 cu yd of soil. The calculator includes sloped walls using the trapezoidal-prism formula when you enter a side slope.
What is the difference between cut and fill?
Cut is soil removed to lower the ground (for basements, footings, pools); fill is soil placed to raise the ground (for pads, driveways, levelling). A balanced job has cut ≈ fill so no hauling is needed; the calculator shows your net moving volume.
What is the swell factor and why does it matter?
Soil expands when excavated — loose material occupies more volume than it did in the ground. A 1.25 swell factor means 100 cu yd of in-place soil becomes 125 cu yd when dug, which is the volume trucks actually haul and quarries charge for.
How many trucks does excavation take?
Divide the loose (swelled) volume by the truck capacity. A 178 cu yd basement at 1.25 swell becomes 222 cu yd loose, or about 13 loads in 17 cu yd trucks. The calculator uses your swell and truck size to count the hauls.
What is a capacity factor for compaction, if any?
Filled material shrinks when compacted. A compaction factor of 0.8–0.9 means you need roughly 110–125 percent of the fill volume in loose material to end compacted at grade. The cut-and-fill tab folds this into the net fill quantity.
What is the slope of an excavation wall?
The side slope is the horizontal distance per vertical foot, like 1H:1V for firm soil or 1.5H:1V for looser ground. For an 8-ft-deep hole with a 1.5:1 slope, each wall base-to-top setback is 12 ft, adding large wedge volumes.
How deep should a trench be for a footing or pipe?
Footing trenches are typically 2–4 ft deep; water and sewer lines 4–8 ft depending on frost. The calculator takes a rectangular or trapezoidal trench shape with your depth and width to size the dig volume.
What is a bank / loose / compacted volume?
Bank is the soil as it sits in the ground; loose is the swollen pile after excavation; compacted is the volume after being tamped back into place. The calculator reports all three from your swell and compaction factors on the relevant tabs.
How do I estimate the cost of excavation?
Excavation is usually priced per cubic yard removed (bank volume) plus hourly for the machine and per-load for hauling. The calculator multiplies your volumes by the rate per cubic yard you enter to build an earthmoving budget.
Is this suitable for estimating a swimming pool excavation?
Yes. Set the length, width, average depth and side slope to your pool plan. The sloped-wall formula matches real pool holes far better than a plain box, and the loose/compact results tell you what to spread back.
What happens to the spoil from an excavation?
Count it as loose volume and decide: spread it on site, use it as fill for a low area, or haul it away. The calculator shows the loose volume, which decides the truck count if it leaves the property.
Do I need to subtract existing structures or services?
Yes. Remove known volumes of footings, slabs, trees and services from your gross dig when they occupy the shape, and confirm the actual subgrade elevations — the calculator works on your average depth entry.