Cubic Yards Calculator: Formula & How to Calculate

To calculate cubic yards, multiply the length, width, and height of the space in feet, then divide by 27 (since 1 cubic yard = 27 cubic feet). Enter those three dimensions below, and the calculator gives you the volume in cubic yards instantly.

Formula

The basic formula for cubic yards is:

Cubic Yards = (Length × Width × Height) ÷ 27

Where:

• Length (L) – measured in feet (ft)
• Width (W) – measured in feet (ft)
• Height (H) – measured in feet (ft)
• 27 – the number of cubic feet in one cubic yard (3 ft × 3 ft × 3 ft)

If your measurements are in inches, convert them to feet first by dividing by 12. If they are in yards already, skip the division by 27 and just multiply L × W × H directly.

Worked Example

Using the default values from the calculator above (length = 10 ft, width = 10 ft, height = 1 ft):

1. Multiply length × width × height: 10 × 10 × 1 = 100 cubic feet
2. Divide by 27: 100 ÷ 27 = 3.70 cubic yards

The calculator shows 3.70 yd³, which matches. So a 10 ft by 10 ft area covered 1 ft deep needs 3.70 cubic yards of material.

When to Use Cubic Yards

Cubic yards are the standard unit for ordering bulk materials in the US and Canada. You’ll need this calculation when buying:

• Topsoil or garden soil for raised beds or lawns
• Mulch for landscaping beds
• Concrete for footings, slabs, or patios
• Gravel, crushed stone, or sand for driveways and paths
• Fill dirt for leveling or backfilling
• Compost or manure for garden amendments

Suppliers typically sell these materials by the cubic yard, and delivery trucks carry a certain number of cubic yards per load. Knowing your volume before ordering helps you avoid overpaying or running short.

How to Measure a Space

Accurate measurements matter because even a small error multiplies when you’re covering a large area. Follow these steps:

1. Measure the length and width of the area in feet. For irregular shapes, break the area into rectangles, calculate each separately, then add them together.
2. Decide on the depth (height) in feet. For mulch or soil, a typical depth is 3–4 inches (0.25–0.33 ft). For concrete, it’s often 4–6 inches (0.33–0.5 ft).
3. Convert all measurements to feet if they aren’t already. Inches ÷ 12 = feet.
4. Plug into the formula: (L × W × H) ÷ 27.

For a circular area (like a round garden bed), use the formula for a cylinder: π × radius² × depth, then divide by 27. For a triangular area, use ½ × base × height × depth, then divide by 27.

Common Mistakes and How to Avoid Them

The most frequent errors come from mixing units or misreading depth.

• Using inches without converting – If you measure depth in inches and forget to divide by 12, your result will be 12 times too large. Always convert to feet first.
• Confusing cubic feet with cubic yards – A cubic yard is much larger than a cubic foot. Remember: 1 yard = 3 feet, so 1 cubic yard = 27 cubic feet. If your result seems too big, you might have forgotten to divide by 27.
• Assuming a “yardâ€� means a square yard – A cubic yard is a volume, not an area. Suppliers sell by volume, not by area.
• Rounding too early – Round only at the final step. If you round intermediate numbers, you can end up with a noticeable error when ordering large quantities.

Also, be aware that many suppliers will only deliver whole or half cubic yards, so you may need to round up to the next 0.5 or 1.0 cubic yard. For example, if you need 3.7 cubic yards, you’ll likely order 4.

Comparing Cubic Yards to Other Units

Understanding how cubic yards relate to other units helps you check your work and communicate with suppliers.

• 1 cubic yard = 27 cubic feet – the basic conversion
• 1 cubic yard = 46,656 cubic inches (since 36³ = 46,656)
• 1 cubic yard ≈ 0.7646 cubic meters
• 1 cubic yard ≈ 764.6 liters
• 1 cubic meter ≈ 1.308 cubic yards

If you’re working in metric, it’s often easier to calculate volume in cubic meters directly (length × width × height in meters) and then convert to cubic yards by multiplying by 1.308.

Limitations of the Formula

The simple L × W × H formula assumes a perfectly rectangular prism with flat, parallel sides. Real-world situations often deviate:

• Sloped ground – The depth varies across the area. In that case, measure the depth at several points and use the average.
• Compaction – Materials like soil and gravel compress when tamped. The volume you order may settle after installation, so you may need extra material to achieve the desired final depth.
• Waste and spillage – It’s wise to add 5–10% extra to your calculated volume to account for spillage, uneven spreading, or settling. For concrete, waste is especially important because you can’t easily add more once it’s poured.
• Irregular shapes – For complex areas, the rectangle approximation can be off. Break the area into smaller rectangles or use more advanced geometry.

For most landscaping and construction projects, the basic formula is accurate enough. But always confirm with your supplier – they may have specific recommendations for your material and project.

Frequently Asked Questions

How many cubic feet are in a cubic yard?

Exactly 27 cubic feet. Since 1 yard equals 3 feet, a cube that is 1 yard on each side has a volume of 3 × 3 × 3 = 27 cubic feet. This is the conversion factor used in the formula.

How do I calculate cubic yards from inches?

Convert all measurements to feet first by dividing each inch measurement by 12. Then multiply length × width × height in feet and divide by 27. For example, an area 120 inches long, 60 inches wide, and 4 inches deep becomes (120/12) × (60/12) × (4/12) = 10 × 5 × 0.333 = 16.67 cubic feet, which is 16.67 ÷ 27 = 0.62 cubic yards.

How much does a cubic yard of topsoil weigh?

Topsoil typically weighs between 1,000 and 1,600 pounds per cubic yard, depending on moisture content and composition. Dry, loose topsoil is lighter, while wet or dense soil is heavier. For comparison, a cubic yard of gravel can weigh around 2,400–2,900 pounds, and a cubic yard of mulch weighs about 400–800 pounds.

How many bags of mulch equal a cubic yard?

It depends on the bag size. A typical bag of mulch is 2 cubic feet, so 27 ÷ 2 = 13.5 bags per cubic yard. If the bags are 1.5 cubic feet, you’d need 18 bags. Always check the bag label for volume.

Do I need to add extra material when ordering?

Yes, it’s common to add 5–10% to your calculated volume. This accounts for settling, compaction, spillage, and uneven surfaces. For concrete, add at least 10% because you cannot easily patch a short pour. For mulch or soil, a little extra is usually fine and can be spread more thickly.

How do I calculate cubic yards for a circular area?

Measure the radius (half the diameter) in feet. Square the radius, multiply by π (3.1416), then multiply by the depth in feet. That gives cubic feet. Divide by 27 to get cubic yards. For example, a circular bed with a 6-foot radius and 0.5-foot depth: 3.1416 × 36 × 0.5 = 56.55 cubic feet, which is 56.55 ÷ 27 = 2.09 cubic yards.

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in l | Length | ft | 10 | 0
in w | Width | ft | 10 | 0
in h | Depth | ft | 1 | 0
out cy | Cubic Yards | yd³ | (l * w * h) / 27 | 2
out cf | Cubic Feet | ft³ | l * w * h | 2