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Cubic Yards Calculator: How to Find Volume

Updated · Standard formula, shown below

Cubic yards 0.93 yd³
Cubic feet
25.00 ft³
Result
Cubic meters
0.71 m³
Result
Length
10 ft
You entered

Cubic Yards Calculator: How to Find Volume

This calculator works out the volume in cubic yards when you enter the length, width, and depth of a space—for example, a garden bed, a concrete slab, or a pile of soil. You get the result in cubic yards, plus the equivalent in cubic feet and cubic meters. The formula is the same one contractors and landscapers use to order fill dirt, mulch, or concrete.

Formula

The volume in cubic yards is calculated with this formula:

Cubic yards = (Length × Width × Depth) ÷ 27

Where:

  • Length is in feet (ft)
  • Width is in feet (ft)
  • Depth is in feet (ft) — if you measure it in inches, divide by 12 first
  • 27 is the number of cubic feet in one cubic yard (3 ft × 3 ft × 3 ft)

If you measure in meters, the equivalent formula is Cubic yards = (Length × Width × Depth in meters) × 1.30795, because one cubic meter equals 1.30795 cubic yards.

Worked Example

Using the default values from the calculator: length = 10 ft, width = 5 ft, depth = 6 inches.

  1. Convert depth to feet: 6 inches ÷ 12 = 0.5 ft
  2. Calculate volume in cubic feet: 10 × 5 × 0.5 = 25 ft³
  3. Convert to cubic yards: 25 ÷ 27 = 0.926 yd³

The calculator rounds to two decimals and shows 0.93 cubic yards as the headline answer, with 25 cubic feet and 0.71 cubic meters as the secondary values.

Why Cubic Yards Matter

Cubic yards are the standard unit for bulk materials in the US and Canada. When you order topsoil, gravel, sand, or concrete, suppliers quote prices per cubic yard, not per cubic foot. A cubic yard is a cube that is 3 feet on each side—about the size of a washing machine. Knowing the volume in cubic yards lets you compare quotes, avoid over-ordering, and plan delivery.

For example, a typical pickup truck bed holds about 2 to 3 cubic yards of loose material, and a standard concrete mixer truck carries around 10 cubic yards. If you are planning a project, these numbers help you estimate how many trips or deliveries you will need.

How to Measure for the Calculator

Accurate measurements are the key to a correct result. Here are the steps to follow:

  • Measure length and width in feet. For irregular shapes, break the area into rectangles and add the volumes together.
  • Measure depth in inches for thin layers (mulch, soil) or in feet for deep fills (foundations, ponds).
  • Use the same unit for all measurements—do not mix feet and inches without converting.
  • For circular areas, measure the diameter in feet, then use the formula for a cylinder: Ï€ × (radius²) × depth, then divide by 27.
  • For triangular areas, multiply base × height × 0.5 first to get the area, then multiply by depth.

If you are measuring a pile of material, it is easier to measure the length, width, and height of the pile as if it were a rectangular box, then multiply by 0.5 to account for the fact that piles are roughly conical or pyramidal. This gives a good estimate without complex geometry.

Common Mistakes and How to Avoid Them

The most frequent error is forgetting to convert inches to feet. Depth in inches must be divided by 12 before multiplying. For example, 6 inches is 0.5 feet, not 6 feet. Another common mistake is using the wrong conversion factor—some people divide by 9 (which is square yards) instead of 27. Remember, 27 is for volume, 9 is for area.

Rounding too early can also cause problems. If you round each intermediate step, the final answer may be off by more than you expect. Keep at least three decimal places until the end.

Finally, do not confuse cubic yards with “yards� (a linear measure) or “square yards� (an area measure). A cubic yard is a volume, so it requires three dimensions.

When to Use This Calculator

This calculator is useful for many home and construction projects:

  • Landscaping: Ordering mulch, topsoil, compost, or gravel for garden beds and paths.
  • Concrete: Estimating the volume of concrete needed for a slab, footing, or patio.
  • Fill dirt: Leveling a yard or filling a depression.
  • Sand: For sandboxes, paver bases, or beach replenishment.
  • Pond or pool: Calculating the amount of water or liner material (though water is usually measured in gallons).

For concrete, note that it is usually ordered by the cubic yard, and you should add about 10% extra to account for spillage, uneven subgrade, or changes in depth. For mulch or soil, a little extra is also wise because settled material compresses over time.

Limitations and Accuracy

This calculator assumes a perfectly rectangular prism with flat, parallel sides. Real-world spaces are rarely that neat. Sloped ground, rounded corners, and irregular shapes will cause the estimate to be off. For critical projects, it is better to overestimate by 5–10% or consult a professional.

Also, remember that volume does not account for compaction. Loose fill like soil or gravel settles after being placed, so the actual amount needed may be more than the calculated volume. For example, fresh topsoil can settle by 10–20% after watering and time. If you are ordering fill for a large area, consider ordering extra and spreading it in layers.

Frequently Asked Questions

How many cubic feet are in a cubic yard?

There are 27 cubic feet in one cubic yard, because 3 feet × 3 feet × 3 feet = 27 cubic feet. This is the conversion factor used in the calculator.

How do I convert square feet to cubic yards?

You cannot convert square feet directly to cubic yards because they measure different things. Square feet is area (2D), cubic yards is volume (3D). You need the depth as well. Multiply the area in square feet by the depth in feet, then divide by 27 to get cubic yards.

What is the difference between a yard and a cubic yard?

A yard is a unit of length equal to 3 feet. A cubic yard is a unit of volume equal to a cube that is 1 yard on each side. They are completely different measurements—one is linear, the other is volumetric.

How much does a cubic yard of soil weigh?

The weight varies by material and moisture content. Dry topsoil weighs about 1,000–1,200 pounds per cubic yard, while wet or compacted soil can weigh 1,500–2,000 pounds. Gravel is heavier, around 2,800–3,000 pounds per cubic yard. Always check with your supplier for exact weights.

Can I use this calculator for concrete?

Yes, but concrete is usually ordered by the cubic yard, so the result is directly usable. However, you should add about 10% extra to the calculated volume to account for waste, spillage, and uneven subgrade. For a slab, also consider the thickness—most residential slabs are 4 to 6 inches.

How do I measure a circular area in cubic yards?

Measure the diameter in feet, divide by 2 to get the radius, then use the formula: π × radius² × depth (in feet) ÷ 27. For example, a circular garden bed with a 6-foot diameter and 1-foot depth would be π × 3² × 1 = 28.27 ft³, which is about 1.05 cubic yards.

Related

Formula used
in length | Length | ft | 10 | 0
in width | Width | ft | 5 | 0
in depth | Depth | in | 6 | 0
out cubic_yards | Cubic yards | yd³ | (length * width * (depth / 12)) / 27 | 2
out cubic_feet | Cubic feet | ft³ | length * width * (depth / 12) | 2
out cubic_meters | Cubic meters | m³ | (length * width * (depth / 12)) / 35.3147 | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.