Cubic Yard Calculator

Last updated: March 28, 2026
Reviewed by: LumoCalculator Team

This cubic yard calculator turns project dimensions into a raw volume, a recommended order volume, and a quick unit-conversion check for concrete, gravel, soil, sand, or mulch. Use it when you want a supplier-ready yardage estimate and need to test waste, compaction, or price assumptions before ordering.

Input Form

Order estimate options

Main Result

Recommended order volume

26.13

yd^3

Geometric volume

24.89 yd^3

Quarter-yard round-up

26.25 yd^3

Secondary Result

View calculation details.

Current project math

Length in feet

12 ft

Width in feet

14 ft

Depth in feet

4 ft

Footprint area

168 ft^2

Geometric volume conversions

Cubic yards

24.89 yd^3

Cubic feet

672 ft^3

Cubic meters

19.03 m^3

Cubic inches

1,161,216 in^3

Planning adjustment math

Order yd^3 = base yd^3 x (1 + waste%) / compaction factor

24.89 x (1 + 5 / 100) / 1 = 26.13 yd^3

Formula Explanation

Geometry first

Convert dimensions to feet and calculate base cubic feet

Rectangle: volume ft^3 = length x width x depth
Circle: volume ft^3 = pi x (diameter / 2)^2 x depth
Triangle: volume ft^3 = 0.5 x base x triangle height x depth

The Cubic Yard Calculator first normalizes the entered units into feet. After that, it applies the correct footprint formula for the selected shape and multiplies by depth to get raw cubic feet. If you already know only the square footage, the same idea becomes area x depth before the page converts to cubic yards.

Unit conversion

Convert cubic feet into cubic yards and other volume units

Cubic yards = cubic feet / 27
Cubic meters = cubic feet x 0.0283168
Cubic inches = cubic feet x 1728

One cubic yard equals 27 cubic feet, so the page uses cubic feet as the internal geometry step and then converts that result into cubic yards, cubic meters, and cubic inches.

Planning adjustment

Adjust the geometric volume for waste, compaction, and optional price

Order yd^3 = base yd^3 x (1 + waste% / 100) / compaction factor
Optional cost = order yd^3 x price per yd^3

The headline result on this page is a recommended order quantity, not only the raw geometric volume. Waste and compaction stay editable because they are project assumptions, not universal standards.

Use Scenarios

Material ordering

Estimate one supplier-ready yardage number before you order

Use the cubic yard calculator when a concrete, gravel, soil, sand, or mulch quote needs one supplier-ready yardage estimate instead of rough mental math.

Project planning

Test waste and compaction assumptions before delivery day

The cubic yard calculator helps when the raw shape-based volume is clear, but you still want to pressure-test how settling, overage, or supplier rounding affect the final order.

Unit conversion

Translate feet-based measurements into cubic yards and metric volume

The Cubic Yard Calculator is also useful when project notes are written in feet or inches but the supplier sells in cubic yards and another teammate still wants the result in cubic meters.

Example Cases

Worked example

Case 1: Concrete patio pour

Inputs

12 ft by 14 ft with 4 in depth, concrete preset, 5% waste, no compaction loss.

Computed Results

Recommended order volume 2.18 yd^3; geometric volume 2.07 yd^3; quarter-yard round-up 2.25 yd^3.

Planning note

This is a simple rectangular pour, so the geometry result and the final order quantity stay close together. The practical decision is usually whether to round the order to 2.25 yd^3 or 2.5 yd^3 with your supplier.

Worked example

Case 2: Mulch bed with settling

Inputs

20 ft by 8 ft with 3 in depth, mulch preset, 12% waste, 0.80 compaction factor.

Computed Results

Recommended order volume 2.07 yd^3; geometric volume 1.48 yd^3; quarter-yard round-up 2.25 yd^3.

Planning note

Mulch shows why planning assumptions matter. The raw geometric volume looks modest, but the order number grows once you account for spill and settling after spreading.

Worked example

Case 3: Circular gravel pad

Inputs

10 ft diameter with 4 in depth, gravel preset, 5% waste, 0.90 compaction factor.

Computed Results

Recommended order volume 1.13 yd^3; geometric volume 0.97 yd^3; quarter-yard round-up 1.25 yd^3.

At the entered price, material cost is $58.82.

Planning note

A circular footprint reduces the raw volume versus a same-size square pad. This example also shows how a quoted per-yard price can turn the planning order quantity into a quick material estimate.

Boundary Conditions

All length inputs are converted to feet before the page calculates volume, so the result depends on the selected length and depth units being correct.
Circle mode treats the first field as diameter, while triangle mode treats the first two fields as base and triangle height.
Waste and compaction settings are editable planning presets, not fixed supplier rules or engineering standards.
Complex or irregular layouts should be broken into smaller rectangles, circles, or triangles and then added together outside the calculator.
The quarter-yard round-up is a practical ordering aid, but suppliers may still use different minimums or delivery increments.
The optional cost line is only as accurate as the price per cubic yard you enter.

Sources & References

  • NIST - SI Units: LengthKept to support the exact yard and inch conversion relationships that sit underneath the page's feet-to-meters and inch-to-feet normalization.
  • QUIKRETE - Concrete CalculatorUsed as a practical ordering reference for supplier-style material estimation and the common habit of rounding material orders up instead of down.
  • Inch Calculator - Cubic Yards CalculatorKept as a supplementary explanatory reference for the shape-based cubic-yard workflow and the common supplier-facing yardage ordering pattern.

Frequently Asked Questions

How do I convert cubic feet to cubic yards?

Divide cubic feet by 27. For example, 54 cubic feet equals 2 cubic yards because 54 / 27 = 2.

How many cubic yards do I need for a 10 x 10 area?

It depends on depth. A 10 x 10 area at 4 inches deep is about 33.33 cubic feet, which equals about 1.23 cubic yards before any waste or compaction adjustment.

How do I calculate cubic yards from square feet?

Multiply area in square feet by depth in feet to get cubic feet, then divide by 27 to get cubic yards. The Cubic Yard Calculator keeps the input focused on dimensions, but the same volume math still works from area and depth.

Why is the final order estimate larger than the raw volume?

The final estimate increases when you add waste and compaction assumptions. Waste covers spillage, uneven edges, or overage, while compaction reflects how some materials settle after placement.

What should I enter for circles and triangles?

In circle mode, enter diameter in the first dimension field. In triangle mode, enter base in the first field and triangle height in the second field, then add the project depth separately.

Should I round up before ordering material?

Usually yes. The calculator shows a quarter-yard round-up because many deliveries are easier to order in standard increments, and rounding down risks coming up short.

Do I need to enter a price per cubic yard?

No. Price is optional. Leave it blank if you only need yardage, or enter your current quote if you want the page to show a quick material-only estimate.