Cubic Yard Calculator
Free cubic yard calculator online for concrete, dirt, mulch, gravel, sand, and soil. Convert square feet to cubic yards, estimate tons and bags, and handle multiple areas.
Quick answer
To calculate cubic yards: length × width × depth (ft) ÷ 27. Shortcut: sq ft × depth (inches) ÷ 324. A 10 × 10 area at 6 inches = 1.85 cubic yards. Guides: how to calculate cubic yards, square feet to cubic yards, and cubic yards to tons.
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How to calculate cubic yards
To calculate cubic yards, multiply length × width × depth (all in feet) to get cubic feet, then divide by 27. One cubic yard equals 27 cubic feet (3 ft × 3 ft × 3 ft). For example, a 10 ft × 10 ft area at 6 inches deep is 10 × 10 × 0.5 = 50 cubic feet, which is 50 ÷ 27 = 1.85 cubic yards.
The most common mistake is mixing units. Length and width are usually measured in feet, but depth is often in inches (like a 4-inch concrete slab or 3-inch mulch layer). Convert inches to feet first by dividing by 12 — a 4-inch slab is 0.333 feet, a 6-inch layer is 0.5 feet. Only after all three dimensions are in feet can you multiply them together.
For projects with multiple areas — a yard with three garden beds, or a driveway with a main section and a turn-out — calculate each area's volume separately and add the results. Add 5–10% waste. Full walkthrough: how to calculate cubic yards.
Cubic yard calculator formula
Volume (cu ft) = Length (ft) × Width (ft) × Depth (ft)
Cubic yards = Cubic feet ÷ 27
Multiple areas: Total = Volume₁ + Volume₂ + Volume₃ + …
With waste: Order volume = Total × (1 + Waste %)
Depth conversions to feet:
Inches ÷ 12
Yards × 3
Centimeters × 0.0328
Meters × 3.281
Shortcut (square feet → cubic yards):
Cubic yards = Square feet × Depth (inches) ÷ 324
Worked example
Inputs: 10 ft × 10 ft area, 6 in depth
Step 1 — convert depth: 6 in ÷ 12 = 0.5 ft
Step 2 — cubic feet: 10 × 10 × 0.5 = 50 cu ft
Step 3 — cubic yards: 50 ÷ 27 = 1.85 cu yd
With 10% waste: 1.85 × 1.10 = 2.04 cu yd to order
Equivalent: 1.42 cu m
How to calculate cubic yards from square feet
If you already know your area in square feet, the conversion to cubic yards is straightforward: multiply the square footage by the depth in feet, then divide by 27. For example, 200 square feet at 4 inches deep: 200 × (4 ÷ 12) = 66.67 cubic feet ÷ 27 = 2.47 cubic yards.
A useful shortcut skips the inch-to-feet conversion: cubic yards = square feet × depth (inches) ÷ 324. The 324 comes from 27 × 12 — it accounts for both the cubic-feet-to-yards and inches-to-feet conversions in one step. So 200 sq ft × 4 in ÷ 324 = 2.47 cubic yards, the same result.
The key thing to remember: you cannot convert square feet to cubic yards without a depth. Square feet measure area (2D); cubic yards measure volume (3D). Depth is the third dimension that connects them. Dedicated tools: square feet to cubic yards converter and square feet to cubic yards guide.
| Depth | Square feet per cubic yard |
|---|---|
| 1 inch | 324 |
| 2 inches | 162 |
| 3 inches | 108 |
| 4 inches | 81 |
| 6 inches | 54 |
| 12 inches | 27 |
One cubic yard at 4 inches deep covers 81 square feet — useful for estimating concrete slabs and mulch beds.
How to calculate cubic yards of concrete
For a rectangular concrete slab, multiply length × width × thickness (all in feet), then divide by 27. A 10 × 10 foot slab at 4 inches thick is 10 × 10 × 0.333 = 33.3 cubic feet ÷ 27 = 1.23 cubic yards. Always add 5–10% for waste and uneven subgrades — for this slab, order 1.36 cubic yards.
For footings, columns, and round slabs, use the shape-specific formula. A round column 12 inches across and 8 feet tall: π × 0.5² × 8 = 6.28 cu ft ÷ 27 = 0.23 cu yd. Add all components together for the total order.
Once you have cubic yards, decide between ready-mix delivery and bagged concrete. Ready-mix is usually more cost-effective above about 1.5 cubic yards. For smaller jobs, use the bag table below — one cubic yard equals about 45 eighty-pound bags.
| Bag size | Yield per bag | Bags per cubic yard |
|---|---|---|
| 40 lb | 0.30 cu ft | 90 |
| 60 lb | 0.45 cu ft | 60 |
| 80 lb | 0.60 cu ft | 45 |
Example
A 12 × 12 foot patio slab at 4 inches: 12 × 12 × 0.333 = 47.9 cu ft ÷ 27 = 1.78 cubic yards. With 10% waste, order 1.95 cubic yards — or about 88 eighty-pound bags (1.95 × 45) for a bagged pour.
Cubic yards to tons
To convert cubic yards to tons, multiply by the material's density in tons per cubic yard. Volume and weight are different — a cubic yard of concrete weighs far more than a cubic yard of mulch. There is no universal conversion factor; you need the density for your specific material.
The densities below are typical loose, uncompacted values. Actual density varies with moisture content, gradation, compaction, and supplier. Full walkthrough: cubic yards to tons guide.
| Material | lb / cu yd | US tons / cu yd | Notes |
|---|---|---|---|
| Concrete (solid) | 4,050 | 2.025 | Cured/cast density |
| Gravel (loose, dry) | 2,800 | 1.40 | Varies by gradation & moisture |
| Sand (loose, dry) | 2,700 | 1.35 | Wet sand is heavier |
| Topsoil (loose) | 2,000 | 1.00 | Compacted ~2,500 lb |
| Fill dirt (compacted) | 2,500 | 1.25 | After settling |
| Mulch (bark) | 600 | 0.30 | Sold by volume, not weight |
Example
5 cubic yards of loose gravel at 1.4 tons/cu yd = 7.0 US tons. The same 5 cubic yards of mulch at 0.3 tons/cu yd = only 1.5 US tons — a 4.7× difference from the same volume.
For material-specific weight estimates with editable density, see our gravel calculator and dirt calculator.
Cubic yards for common materials
The volume formula is the same for every material — what changes is the typical depth, density, and whether you order by volume or weight.
Concrete
Calculate slab volume (length × width × thickness in feet ÷ 27), add 5–10% waste, then order ready-mix or calculate bag count. A 10×10 slab at 4 inches needs about 1.23 cubic yards.
Mulch
Bed area × depth (typically 2–4 inches) ÷ 27. One cubic yard covers about 108 sq ft at 3 inches. Bagged mulch is usually 2 cu ft, so 1 cubic yard ≈ 13.5 bags.
Gravel
Area × depth ÷ 27 for volume; multiply by ~1.4 tons/cu yd for weight. Driveway bases typically use 4–6 inches of compacted gravel. See our gravel calculator.
Sand
Same volume formula as gravel. Loose dry sand weighs about 1.35 tons per cubic yard. Used for paver bases, sandbox fills, and leveling — typically 1–2 inch depth under pavers.
Topsoil
Lawn and garden beds at 2–6 inch depth. Loose topsoil is about 1.0 ton/cu yd, but it compacts — add 15–20% to your order for settling. See our dirt calculator.
Fill dirt
Used for grading and leveling. Calculate volume, then add 10–15% for compaction. Fill dirt is denser than topsoil at about 1.25 tons/cu yd when compacted.
Rock & stone
Decorative rock and crushed stone use the same volume formula. Density varies by stone type — river rock, crushed granite, and limestone all weigh differently. Confirm with your supplier.
Asphalt
Hot mix asphalt is ordered by the ton. Calculate cubic yards, then multiply by ~2.0 tons/cu yd. A 30×12 driveway at 3 inches needs about 3.33 cu yd ≈ 6.7 tons. See our asphalt calculator.
Cubic yards of a cylinder
For round shapes — fire pits, round slabs, post holes, and tanks — use the cylinder formula: cubic yards = (π × radius² × height) ÷ 27, with radius and height in feet. Measure the radius as half the diameter (the full width across the circle).
Example
A round fire pit 4 feet across (2 ft radius) and 2 feet deep: π × 2² × 2 = 25.13 cubic feet ÷ 27 = 0.93 cubic yards.
Cubic yards to square feet
To convert cubic yards back to square feet, you need the depth: square feet = (cubic yards × 27) ÷ depth in feet. This is useful when a supplier quotes a fixed number of cubic yards and you want to know how much area it will cover.
One cubic yard at 4 inches deep covers 81 square feet. At 6 inches deep, the same cubic yard covers only 54 square feet. Doubling the depth halves the coverage area for the same volume.
| Cubic yards | Depth | Coverage (sq ft) |
|---|---|---|
| 1 | 4 in | 81 |
| 1 | 6 in | 54 |
| 5 | 6 in | 270 |
| 10 | 3 in | 1,080 |
| 10 | 4 in | 810 |
Cubic yards, square yards, and yards — what is the difference?
These three units measure different things and cannot be freely converted. The confusion is common and leads to costly ordering mistakes.
- Yards measure length (1D). One yard = 3 feet. Used for linear measurements like fabric or fencing.
- Square yards measure area (2D). One square yard = 9 square feet (3 ft × 3 ft). Used for carpet, sod, and surface area.
- Cubic yards measure volume (3D). One cubic yard = 27 cubic feet (3 ft × 3 ft × 3 ft). Used for concrete, mulch, gravel, and bulk materials.
A 10 × 10 patio is about 11.1 square yards of surface, but at 6 inches deep it is only 1.85 cubic yards of material. You cannot convert cubic yards to yards (length) or square yards (area) without knowing the depth — depth is the dimension that turns area into volume.
Unit conversion reference
| From | Equals |
|---|---|
| 1 cubic yard | 27 cubic feet |
| 1 cubic yard | 0.7646 cubic meters |
| 1 cubic meter | 1.308 cubic yards |
| 1 cubic foot | 0.0370 cubic yards |
| From | Equals |
|---|---|
| 1 square yard | 9 square feet |
| 1 square foot | 0.1111 square yards |
| 1 square foot | 0.0929 square meters |
| 1 yard (length) | 3 feet |
Cubic yards by material
The volume formula is the same for every material — what changes is the typical depth, density, and whether you order by volume or weight. Click any material for a dedicated calculator.
Concrete
Calculate slab volume (length × width × thickness ÷ 27), add 5–10% waste. A 10×10 slab at 4 in = 1.23 cu yd. Density: ~2.0 tons/cu yd. 1 cu yd = 45 eighty-pound bags.
Dirt
Length × width × depth ÷ 27. A 10×8 raised bed at 12 in = 2.96 cu yd. Add 15–25% for settling. Fill dirt: 1.1–1.25 tons/cu yd. Topsoil: 1.0 tons/cu yd. Dirt calculator →
Gravel
Area × depth ÷ 27. A 20×10 driveway at 4 in = 2.47 cu yd. Add 10–15% for compaction. Density: 1.25–1.5 tons/cu yd. Gravel calculator →
Mulch
Bed area × depth (2–4 in) ÷ 27. A 200 sq ft bed at 3 in = 1.85 cu yd. 1 cu yd covers 108 sq ft at 3 in. Bagged mulch is usually 2 cu ft (13.5 bags per cu yd).
Soil & topsoil
Same formula as dirt. A 500 sq ft lawn at 4 in = 6.17 cu yd of topsoil. Add 20–25% for settling. Loose topsoil: 1.0 tons/cu yd. Compacted: ~1.25 tons/cu yd.
Sand
Area × depth ÷ 27. A 10×10 paver base at 2 in = 0.62 cu yd. Loose dry sand: 1.35 tons/cu yd. Wet sand is heavier. Used for paver bases, sandboxes, and leveling.
Rock & stone
Decorative rock and crushed stone: area × depth ÷ 27. River rock and crushed stone: 1.25–1.35 tons/cu yd. A 50 sq ft bed at 3 in = 0.46 cu yd.
Asphalt
Area × thickness ÷ 27. A 30×12 driveway at 3 in = 3.33 cu yd. Compacted HMA: ~2.0 tons/cu yd. Asphalt calculator →
Cement
Cement is an ingredient of concrete, not the same thing. For concrete slabs, use the concrete formula above. Bagged cement mix yields 0.60 cu ft per 80 lb bag — 45 bags per cubic yard.
How to convert tons to cubic yards
To convert tons to cubic yards, divide the weight in US tons by the material's density in tons per cubic yard. The same weight gives different volumes — 7 tons of gravel (1.4 tons/cu yd) = 5 cubic yards, but 7 tons of topsoil (1.0 tons/cu yd) = 7 cubic yards.
Use our free tons to cubic yards converter or the cubic yards to tons converter for instant results with material-specific densities.
Cubic yards in a dump truck or trailer
Dump truck and trailer capacity is measured in cubic yards. Knowing your material volume helps you choose the right delivery size and estimate hauling costs.
| Vehicle | Capacity (cu yd) | Typical use |
|---|---|---|
| Pickup truck (full-size) | 1–2 | Small DIY loads |
| Single-axle dump truck | 2–5 | Small residential delivery |
| Tandem axle dump truck | 10–16 | Standard bulk delivery |
| Tri-axle dump truck | 15–20 | Large commercial delivery |
| Dump trailer (small) | 3–6 | Landscaping, DIY hauling |
| Dumpster (10 yard) | 10 | Small cleanup project |
| Dumpster (30 yard) | 30 | Construction/remodel |
To check if your material fits, calculate the volume (length × width × depth ÷ 27) and compare to the vehicle's rated capacity. Always account for weight limits too — a truck may be full by weight before it's full by volume.
Related converters & guides
Convert square feet to cubic yards, cubic feet to cubic yards, cubic yards to tons, or tons to cubic yards. Material tools: gravel, dirt, asphalt. Guides: how to calculate cubic yards, square feet to cubic yards, cubic yards to tons, concrete, and mulch. For flat surfaces only, use the square footage calculator.
Frequently asked questions
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