Cut and Fill Calculator — How to Calculate Earthwork Volume

The complete guide to cut and fill math — formulas, swell factors, truck loads, and the mistakes that cost operators thousands every year.

Every construction job that moves dirt lives or dies on cut and fill math. Bid it wrong and you lose money before you turn the first track. Calculate it wrong and you under-truck the job. Forget swell factor and you're short on hauling capacity by 25%.

What "Cut and Fill" Actually Means

Cut = material removed from the ground (excavation).
Fill = material placed into the ground (embankment).
Net = the difference between the two.

Most earthwork projects involve both. You dig the high spots and move that material into the low spots to create a level surface. When the volumes balance, you don't need to import or export material — the cheapest scenario.

The Three States of Soil (This Is What Most People Miss)

Every cubic yard of dirt exists in three states depending on where it is in the process:

1. Bank Cubic Yards (BCY)

Soil in its natural, undisturbed state in the ground. Bank is tight, compressed by its own weight. This is what your survey measures before you touch it.

2. Loose Cubic Yards (LCY)

Soil after you've excavated it. When you dig dirt out, air gets introduced between particles. The volume expands. A cubic yard of bank dirt becomes 1.2 to 1.5 cubic yards of loose dirt once it's on a truck.

3. Compacted Cubic Yards (CCY)

Soil after it's been placed as fill and compacted. Compaction squeezes out air and packs the material tighter than even its original state. A cubic yard of bank dirt becomes about 0.85 to 0.95 cubic yards of compacted fill.

The Basic Formula

For uniform sites (building pads, parking lots):

Example: Building pad 60 feet long × 40 feet wide × 2 feet deep

Swell Factor — How Much Bigger Dirt Gets

When you dig material out, it expands. The amount depends on the material:

How to apply swell factor

You're hauling 640 cubic yards of loose material, not 500. If your truck capacity is 12 LCY, that's 53 truck loads — not 42.

Shrink Factor — How Much Fill Gets Smaller

When you place dirt as fill and compact it, it compresses smaller than its original bank volume:

Real Jobsite Example

The job: Cut a driveway through a hillside. 150 feet long × 16 feet wide × 3 feet deep average. Clay with rock (28% swell). Truck capacity: 12 LCY.

Step 1 — Bank volume:

Step 2 — Loose volume (swell):

Step 3 — Truck loads:

Step 4 — Haul time (30-min cycle per truck):

With one truck, that's two shifts. With three trucks, it's a 5-hour operation.

Common Mistakes (And How to Avoid Them)

• Forgetting swell factor — You're short on trucking by 20–30%
• Mixing bank, loose, and compacted volumes — Keep track: "267 BCY cut → 342 LCY trucks → 219 CCY placed"
• Using the same swell for every material — Sand is 12%, clay is 32%, rock is 45%
• Unit conversion errors — Cubic feet ÷ 27 = cubic yards
• No contingency — Add 10–15% for surprises on any serious bid
• Calculating by hand and getting it wrong — Use the Dirt Calculator Cut & Fill tool

Using Dirt Calculator

The Dirt Calculator Cut & Fill tool eliminates manual errors. It:

• Handles both metric and imperial
• Outputs all three volume states (BCY, LCY, CCY) simultaneously
• Has swell/shrink factor presets for all materials
• Calculates truck loads automatically
• Converts to material weight for verification
• Works offline after first load

Typical workflow: Pull out phone → open Dirt Calculator (installed as app) → enter length, width, depth → pick material → read off BCY, LCY, CCY, truck loads, weight — all at once. No cell signal needed.

→ Free Cut & Fill Calculator — works offline, all three volume states, truck loads included
→ IUOE Study Guide — $9.99, includes 60-question practice test with cut/fill problems
→ Red Seal Study Guide — $9.99, full earthwork coverage