Cubic Yard Calculator uses length, width or area, depth, and quantity to find cu yd: cubic yards = cubic feet ÷ 27, with cost, material weight, and 5–10% extra order estimates for bulk material tasks.
Cubic Yard Calculator — Estimate Bulk Material Volume Instantly
This Cubic Yard Calculator converts area dimensions and a depth measurement into total cubic yards — the standard unit used by bulk material suppliers across the United States. Enter your measurement system (US Customary or Metric), select the shape of your area, fill in your dimensions and depth, and the tool instantly returns total cubic yardage, estimated material weights for common products, a projected material cost, and recommended order quantities with 5% and 10% overage buffers already calculated.
The calculator supports three area modes: Rectangle / Square using length and width, Circle / Round using diameter, and Area per Section for a directly known area value. A quantity field multiplies the result across identical sections — useful for driveways, footings, or raised beds that repeat the same shape.
An optional price-per-cubic-yard field projects material cost against the calculated volume. All outputs update live as you type. Results include a full breakdown — surface area, depth used, cubic feet or cubic metres, estimated weights for concrete, gravel, and topsoil, and ready-to-use order figures with waste allowance built in.
Calculation Formulas
Every result this tool produces is derived directly from the formulas below. No compaction factor or shrinkage allowance is applied — all outputs represent geometric volume only.
Area
Conversion
Conversion
Division by 27 converts cubic feet into cubic yards. Depth in inches is divided by 12 before multiplying to keep all dimensions in feet. In Metric mode, the intermediate volume in cubic metres is multiplied by 1.3079506 to arrive at cubic yards.
Input Fields Explained
Measurement System
Selects the unit framework for the entire calculation. US Customary accepts dimensions in feet and depth in inches. Metric accepts dimensions in metres and depth in centimetres. All unit labels and default values update automatically when you switch.
Area Shape
Determines which dimension inputs appear. Rectangle / Square uses Length and Width. Circle / Round uses Diameter only, computing area as π × (d/2)². Area per Section accepts a known area value directly, bypassing dimension entry entirely.
Length / Width
The two horizontal dimensions of a rectangular or square area, in feet (US) or metres (Metric). Both must be positive numbers. The Width field is hidden when Circle or Area per Section mode is active — only Length remains visible.
Diameter
The full outer diameter — not the radius — of the circular area, in feet or metres. The calculator divides this value by 2 internally before applying the circle area formula. Visible only when Circle / Round is selected as the Area Shape.
Area per Section
A directly known surface area in square feet (US) or square metres (Metric). Useful when area is already calculated from a site plan or survey — only the depth-to-volume conversion is needed. The Diameter and Width fields are hidden in this mode.
Thickness / Depth
The vertical depth of the material layer — in inches (US) or centimetres (Metric). For a concrete slab, this is the slab thickness. For gravel or topsoil, this is the fill depth. Must be a positive number greater than zero.
Quantity
The number of identical sections to multiply together. Enter 1 for a single area. Use a whole positive integer for repeated identical shapes — for example, 4 for four matching footings. The per-section volume is multiplied by this value to produce the total cubic yardage.
Price per Cubic Yard
The supplier rate per cubic yard, in US dollars. When provided, the Material Cost card shows total projected spend and a per-section cost figure. Leave blank to skip cost output entirely. This field has no effect on volume results — it is a cost projection only.
Output Results Explained
Total Cubic Yards Required
The primary output, displayed as a large value at the top of the results area. This is the total geometric volume of all sections combined, expressed in cubic yards. This is the figure to provide to a bulk material supplier when requesting a concrete, gravel, topsoil, or fill material quote.
Estimated Weights
Shows approximate weight for three common material categories at the calculated volume, using fixed density multipliers: Concrete ≈ 2.0 tons/cu yd, Gravel / Stone ≈ 1.4 tons/cu yd, Topsoil / Dirt ≈ 1.1 tons/cu yd. These are planning estimates only. Actual weight varies by moisture content, particle gradation, compaction state, and the specific product. Confirm weight per cubic yard directly with your supplier before planning haul loads or structural support.
Material Cost
Projects the total material spend based on cubic yards multiplied by the price per cubic yard entered. Displays total cost, unit price, and cost per section. Only shown when a price is provided. Does not include delivery charges, fuel surcharges, minimum order fees, or taxes — these vary by supplier and location and must be confirmed separately.
Area & Base Volume
Shows the computed surface area (in sq ft or sq m), the exact depth value the tool used in its calculation, and the intermediate volume before the cubic yards conversion — either Cubic Feet in US mode or Cubic Metres in Metric mode. Use this card to verify that the geometry is correct before acting on the cubic yard figure.
Ordering Extra
Shows the total order quantity at 5% overage (base × 1.05) and 10% overage (base × 1.10). These are ready-to-order totals — the amount to request from the supplier, not just the extra buffer. The range displayed (e.g., 0.06 – 0.12 cu yd) is the overage addition alone, for quick reference.
Worked Example — 10 × 10 ft Slab at 4 in Depth
A 10 ft × 10 ft rectangular area, 4 inches deep, with one section and a material rate of $120.00 per cubic yard.
Why Order 5–10% Extra Material?
Site conditions rarely match the idealized flat, uniform surface a volume formula assumes. Subgrade surfaces are typically uneven — low spots require additional fill to reach the design depth, consuming more material than a flat-grade calculation predicts. Granular materials such as crushed stone and gravel compact after placement and load application, reducing the finished depth and requiring top-up. Fine materials like topsoil and sand can be lost to spillage during delivery and spreading, especially along irregular or unformed edges.
Ordering 5–10% above the base calculated volume is a widely practised approach in construction and landscaping estimation to account for these field realities. This calculator provides both the 5% and 10% total order quantities as ready-to-use reference figures. The appropriate buffer for any specific project depends on material type, subgrade condition, contractor practice, and supplier minimums — the overage figures shown here are planning guides, not project specifications or engineering requirements. Always confirm final quantities with your supplier or contractor.
Limitations
- This tool estimates geometric volume only. It does not check supplier availability, minimum order quantities, or delivery zones for your specific location or project address.
- Weight outputs for concrete, gravel, and topsoil use fixed density multipliers and are approximations. Actual unit weight varies by moisture content, particle size distribution, compaction state, and the specific product ordered from a supplier.
- No compaction factor or shrinkage allowance is applied to the base volume calculation. The 5% and 10% overage figures are references — the appropriate margin for any project depends on material type and site conditions and should be confirmed with the project contractor or supplier.
- The price per cubic yard field accepts any user-entered rate and projects cost against the calculated volume only. It does not include delivery fees, fuel surcharges, environmental levies, taxes, or any other supplier-specific costs that may apply to the final invoice.
- Results from this calculator are estimates suitable for budgeting and preliminary planning. They do not replace formal project specifications, engineer-of-record calculations, or final confirmation of order quantities directly with your material supplier.
References
National Institute of Standards and Technology. Authoritative US reference for unit definitions and commercial measurement standards, including the cubic yard and cubic foot definitions used in bulk material trade.
National Institute of Standards and Technology. Reference for metric unit usage and conversion factors, including the cubic metre to cubic yard conversion factor (1 m³ = 1.3079506 yd³) applied in Metric mode.
ASTM International. Defines standard test procedures for measuring the density of fresh concrete in the field, relevant to the approximate weight-per-cubic-yard figure shown in the Estimated Weights result card.
ASTM International. Covers density determination methods for soils, aggregate, and granular fill materials. Relevant background for the gravel and topsoil weight estimates, which vary by material gradation, moisture, and compaction level.
American Concrete Institute. Basis for concrete mix design and volume estimating practice in structural applications. Reinforces that design-specified volumes from a licensed engineer should govern all structural concrete orders, not estimator outputs alone.
Federal Highway Administration. Material volume estimating guidance used in pavement base and subbase design, including aggregate and fill quantity calculation methodology relevant to gravel and base-course cubic yardage estimation practice.
For any material purchase, confirm final quantities, unit weights, product-specific densities, delivery minimums, and pricing directly with the supplying vendor. Calculator outputs are planning estimates and should be reviewed against supplier data and project documents before committing to an order.