Cubic Yards Calculator: Formula, Examples & FAQ

A cubic yards calculator determines the volume of a space or material in cubic yards (yd³) from your length, width, and depth measurements. You enter the three dimensions (in feet, inches, yards, or meters), and the calculator returns the volume in cubic yards, plus often in cubic feet and cubic meters. This is the standard unit for ordering bulk materials like soil, mulch, gravel, and concrete.

Formula

The volume in cubic yards is calculated from the three dimensions of a rectangular prism (or box):

V (yd³) = L (ft) × W (ft) × D (ft) ÷ 27

Where:

• L = length in feet (ft)
• W = width in feet (ft)
• D = depth in feet (ft) – if you measure in inches, divide by 12 to convert to feet
• 27 = the number of cubic feet in one cubic yard (3 ft × 3 ft × 3 ft)

If your measurements are in yards already, then the volume is simply L × W × D, with no division by 27. If you use meters, multiply the result in cubic meters by 1.30795 to get cubic yards.

Worked Example

Let’s use the default values from the calculator: length = 10 ft, width = 10 ft, depth = 6 inches.

1. Convert depth to feet: 6 in ÷ 12 = 0.5 ft
2. Compute volume in cubic feet: 10 ft × 10 ft × 0.5 ft = 50 ft³
3. Convert to cubic yards: 50 ft³ ÷ 27 = 1.8519 yd³
4. Rounded to two decimals: 1.85 yd³

The calculator shows 1.85 cubic yards, 50.0 cubic feet, and 1.42 cubic meters. This matches the manual calculation.

When to Use a Cubic Yards Calculator

You need cubic yards when ordering bulk materials that are sold by volume, not by weight. Common situations:

• Landscaping: topsoil, garden soil, compost, mulch, sand, or gravel for a garden bed, lawn, or path.
• Construction: concrete for a slab, footing, or driveway; fill dirt for leveling; crushed stone for a base.
• Removal: estimating the volume of debris or excavated soil for disposal (often charged per cubic yard).
• Pond or pool: calculating water volume or liner size (though water is usually measured in gallons or liters).

Always check with your supplier: some materials (like mulch) are sold by cubic yard, while others (like sand or gravel) may be sold by ton. If the material is sold by weight, you’ll need the material’s density to convert.

How to Read the Result

The first output is the volume in cubic yards. This is the number you give to a supplier when ordering. For example, if the calculator returns 1.85 yd³, you would order 2 cubic yards to have a little extra (most suppliers require whole yards).

The second output (cubic feet) is useful for smaller projects or when comparing prices per cubic foot. The third (cubic meters) is handy if you’re working with metric measurements or international suppliers.

Remember: a cubic yard is a cube 3 feet on each side. It’s a lot of material – roughly 13.5 wheelbarrow loads (assuming a 2-cubic-foot wheelbarrow).

Common Mistakes and Unit Mix-Ups

The most frequent error is mixing units without converting. For example, entering length in feet and depth in inches without dividing depth by 12 will give a result that is off by a factor of 12.

Another mistake is confusing cubic yards with square yards. Square yards measure area (length × width), while cubic yards measure volume (length × width × height). For a 10 ft × 10 ft area, that’s 11.11 square yards, but 1.85 cubic yards at 6 inches deep – very different numbers.

Rounding too early can also cause problems. If you round the depth to 0.6 ft instead of 0.5 ft, your result changes by 20%. Always keep full precision until the final answer.

Limitations of the Formula

This calculator assumes a perfectly rectangular, flat area with uniform depth. Real-world projects often have irregularities:

• Sloped ground: The depth varies across the area. Measure depth at several points and average them, or divide the area into smaller rectangles.
• Curved or irregular shapes: Break the area into rectangles, triangles, or circles, calculate each separately, then add the volumes.
• Compaction: Materials like soil or gravel compact when installed. You may need 10–20% more than the calculated volume to account for settling.
• Waste and spillage: Ordering 5–10% extra is standard practice, especially for materials like concrete that can’t be returned.

For a circular area (like a round garden bed), use the formula: V = π × r² × depth, then divide by 27 for cubic yards. For a triangular area, use V = (base × height / 2) × depth.

Frequently Asked Questions

How many cubic feet are in a cubic yard?

Exactly 27 cubic feet. Since 1 yard = 3 feet, a cube that is 1 yard on each side is 3 ft × 3 ft × 3 ft = 27 ft³.

How do I convert cubic yards to tons?

You need the material’s density (weight per cubic yard). For example, dry topsoil weighs about 1.2 tons per cubic yard, while gravel can be 1.4–1.7 tons per cubic yard. Multiply the cubic yards by the density to get tons. Always ask your supplier for the exact density of the material they deliver.

Can I use this calculator for concrete?

Yes, but concrete is usually ordered in cubic yards, and the calculator works the same. However, concrete is sold by the cubic yard, and most ready-mix companies have a minimum order (often 1–2 cubic yards). Also, concrete doesn’t settle like soil, so you don’t need extra for compaction – but you should still order a little extra for spillage and uneven subgrade.

What if my measurements are in inches or meters?

The calculator accepts feet for length and width, and inches for depth. If you have measurements in meters, convert them to feet first (1 m = 3.28084 ft) or use a metric calculator. For a quick conversion: 1 cubic meter = 1.30795 cubic yards.

How much does a cubic yard of mulch weigh?

It varies widely by material. A cubic yard of dry mulch can weigh 400–800 pounds (180–360 kg), while wet mulch can be heavier. For comparison, a cubic yard of topsoil weighs about 2,000–2,700 pounds (900–1,200 kg). Weight matters for delivery and for whether you can haul it yourself.

Should I round up when ordering?

Yes, it’s wise to round up to the next whole cubic yard, especially for bulk materials. Suppliers typically deliver in whole yards, and having a little extra is better than running short. For concrete, order about 10% extra to account for variations in depth and spillage.

Practical Tips for Measuring

Accurate measurements save money and prevent waste. Here are some field-tested tips:

• Measure in multiple spots and use the average depth, especially for uneven areas.
• For large areas, divide into rectangles and calculate each separately, then add.
• Use a tape measure or laser distance measurer – don’t guess.
• If you’re ordering soil or mulch, remember that fresh material settles. A 6-inch layer of loose mulch will compact to about 4–5 inches after rain.
• When in doubt, ask your supplier how much they recommend for your project size – they see these numbers daily.

With the calculator above, you can quickly get the cubic yards for any rectangular area. Just plug in your length, width, and depth, and you’ll know exactly how much to order.

Related

• Cubic Yard Volume Calculator: Formula & Examples
• Cubic Yard to Tons Calculator: How to Convert
• Cubic Yard Calculator Triangle: Formula & Examples

in l | Length | ft | 10 | 0
in w | Width | ft | 10 | 0
in d | Depth | in | 6 | 0
out cy | Cubic yards | yd³ | (l * w * (d / 12)) / 27 | 2
out cf | Cubic feet | ft³ | l * w * (d / 12) | 1
out cm | Cubic meters | m³ | (l * w * (d / 12)) * 0.0283168 | 2