Cubic Yard Calculator
Work out how many cubic yards of concrete, gravel, sand, topsoil or mulch you need. Enter your measurements in feet, inches or meters and get yardage, tons, bag counts and total cost.
How to Calculate Cubic Yards
The cubic yard formula
A cubic yard is a cube 3 feet on every side, so it holds 27 cubic feet. Every yardage calculation comes down to the same two steps: find the volume in cubic feet, then divide by 27.
Cubic yards = (Length ft × Width ft × Depth ft) ÷ 27
The most common mistake is leaving depth in inches. A 4-inch slab is 4 ÷ 12 = 0.333 ft, not 4 ft. The calculator above handles that conversion for you, so you can enter depth in inches and length in feet without converting anything by hand.
Worked example: a 10 × 10 concrete slab
- Area = 10 ft × 10 ft = 100 sq ft
- Depth = 4 in ÷ 12 = 0.333 ft
- Volume = 100 × 0.333 = 33.3 cubic feet
- Cubic yards = 33.3 ÷ 27 = 1.23 cubic yards
- With a 10% waste allowance = 1.36 yd³ → order 1.5 yd³
Round areas and columns
For a circular patio, fire pit or footing, the area is π × radius², where the radius is half the diameter. A 12 ft round patio at 4 inches deep works out to 3.14 × 6² = 113 sq ft × 0.333 ft = 37.7 cubic feet = 1.4 cubic yards. Switch the shape toggle to Circle and enter the diameter — the calculator applies the formula automatically.
Coverage per cubic yard by depth
| Depth | Coverage of 1 cubic yard |
|---|---|
| 1 inch | 324 sq ft |
| 2 inches | 162 sq ft |
| 3 inches | 108 sq ft |
| 4 inches | 81 sq ft |
| 6 inches | 54 sq ft |
| 12 inches | 27 sq ft |
Weight of a cubic yard by material
| Material | lb per yd³ | US tons per yd³ |
|---|---|---|
| Concrete (ready-mix) | 4,050 | 2.02 |
| Gravel / crushed stone | 2,835 | 1.42 |
| Sand | 2,700 | 1.35 |
| Topsoil | 2,100 | 1.05 |
| Mulch (bark) | 800 | 0.40 |
| Compost | 1,100 | 0.55 |
| Asphalt | 3,960 | 1.98 |
| Limestone (crushed) | 2,565 | 1.28 |
These are typical dry densities. Wet sand, gravel and topsoil can be 10–20% heavier, which matters when you are checking a truck's payload limit.
Bags vs ready-mix
An 80 lb bag of concrete mix yields about 0.60 ft³, so a single cubic yard takes roughly 45 bags. Below about half a cubic yard, bags are usually cheaper and far more convenient. Above one cubic yard, ordering ready-mix is normally cheaper per yard and guarantees a consistent pour — most suppliers have a minimum order of 1 yard and charge a short-load fee under 3–4 yards.