Construction Calculators
Cubic Yard Calculator
Calculate rectangular, circular, trench, repeated, or known volume with optional user-entered overage and USD-per-cubic-yard cost.
Volume geometry
Choose a mode, then enter complete nonnegative decimal values. Quantities must be whole numbers.
Context only. This selection never changes the geometric formula.
Cubic yard formulas
Rectangular and trench volume equals length × width × depth × quantity. Circular volume equals π × radius² × depth × quantity. Manual volume is converted directly through exact SI-defined factors.
Overage is calculated from base volume. Final cubic yards, cubic feet, and cubic metres all derive from the same post-overage value.
Worked example
For dimensions of 3 ft × 3 ft × 3 ft and quantity 1, base volume = 3 × 3 × 3 = 27 ft³. Base cubic yards = 27 / 27 = 1 yd³.
If the user enters 10% overage, overage = 1 × 10 / 100 = 0.1 yd³. Final volume = 1 + 0.1 = 1.1 yd³. The 10% value is an example, not a recommendation.
General volume, not a material specification
This calculator does not model density, weight, tons, bags, product yield, compaction, packaging, delivery, labor, tax, or structural adequacy. Overage and USD price are values you enter.
Use Square Feet to Cubic Yards for the narrower area-plus-depth workflow, or a material-specific calculator when you need additional assumptions.
Quick answers
What this calculator answers
- Workflow: Calculate general three-dimensional volume from rectangular, circular, trench, repeated-section, or known-volume inputs.
- Primary result: Final adjusted cubic yards with consistent cubic-foot and cubic-metre conversions.
- Scope: Geometry only; density, weight, bags, product yield, delivery, and structural design are not calculated.
Transparency note
Accuracy and limitations
Calzivo tools are built for practical estimates, conversions, and checks. Some tools use standard formulas or simplified assumptions, and results can be affected by input accuracy, rounding, units, local rules, or changing official requirements.
Construction estimates can vary with site conditions, waste, compaction, product coverage, local requirements, and measurement accuracy. Verify material orders before purchasing.
Reference check
Sources and references
These references provide background context for the topic. They do not replace official advice or documents for personal decisions.
- NIST Guide to the SI, Appendix B: Conversion Factors
National Institute of Standards and Technology
How to Use This Tool
Use these steps to enter the right inputs and interpret the result correctly.
Choose a volume mode.
Enter dimensions and a whole-number quantity.
Optionally enter overage and a USD price per cubic yard.
Calculate and review base, overage, and final volume.
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Related Guides
Background reading and explanations related to Cubic Yard Calculator.
Frequently Asked Questions
Common questions about Cubic Yard Calculator and how to read the result.
How are cubic yards calculated?
Rectangular cubic feet equal length × width × depth. Divide cubic feet by 27 for cubic yards.
How are circular volumes calculated?
The calculator uses π × radius² × depth and does not round π or intermediate values.
Does the project context change the result?
No. It only provides a limitation note; geometry is independent of material type.
Does this calculate tons or bags?
No. Weight, density, bags, packaging, and product yield require material-specific assumptions.