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Cubic Yard Calculator

Calculate volume in cubic yards, cubic feet, and cubic meters for rectangular, circular, or triangular areas. Add multiple areas and get tons based on material density.

What is a Cubic Yard Calculator?

A cubic yard calculator converts the dimensions of a space or volume of material into cubic yards — the standard unit used for ordering concrete, gravel, sand, topsoil, and mulch in the United States. One cubic yard equals 27 cubic feet (a 3×3×3 ft cube), and knowing the exact volume needed lets you order the right quantity of material, avoiding costly over-ordering or shortage delays on construction and landscaping projects.

This calculator handles three common shape types: rectangular areas (length × width × depth), circular areas (π × radius² × depth), and triangular areas (½ × base × height × depth). For larger projects involving multiple distinct areas — such as a driveway with separate rectangular and curved sections — the batch addition feature accumulates volumes across all areas before generating a single total order quantity, preventing the rounding errors that arise from ordering each section separately.

Material weight estimates are critical for delivery planning. Different materials have vastly different densities: mulch weighs only ~400 lbs per cubic yard, while concrete weighs over 4,000 lbs per cubic yard. Knowing the total weight before ordering ensures you arrange appropriately-rated delivery vehicles and confirms whether your structure or site access can bear the load. This calculator provides weight estimates for the five most common landscaping and construction materials.

How the Cubic Yard Calculator Works

Formula, assumptions, and calculation steps for this construction tool.

Formula Used

1 cubic yard = 27 cubic feet; Cubic Yards = (Length x Width x Height in feet) / 27

Methodology

Multiplies the three dimensions in feet and divides by 27 to convert cubic feet into cubic yards.

Calculation Steps

  1. Enter project dimensions and material specifications.
  2. Convert measurements to a consistent unit system.
  3. Calculate area, volume, count, or weight.
  4. Apply waste factor or price where requested.

Assumptions and Limits

  • Site conditions, cuts, laps, and installation patterns affect real material needs.
  • Waste factors should be adjusted for project complexity.
  • Verify estimates with drawings and contractor guidance.

Frequently Asked Questions

A cubic yard is a 3×3×3 foot cube — 27 cubic feet of space. Visually, it's roughly the size of a washing machine. A standard pickup truck bed holds about 1 cubic yard of material.

Divide cubic feet by 27. For example, 54 cubic feet ÷ 27 = 2 cubic yards. To convert cubic meters to cubic yards, multiply by 1.308.

Normal-weight concrete weighs approximately 3,600–4,050 lbs per cubic yard (2,200–2,400 kg/m³). This calculator uses 4,050 lbs (2,400 kg/m³) as a standard.

Yes — use the + Add Area button to save the current calculation and add it to a running total. Each saved area appears as a line item, and the results show the combined cubic yards for all areas.

Real-World Applications

🏗️
Concrete Patio
Calculate cubic yards of concrete for a 20×12 ft slab at 4" depth.
🌱
Topsoil Purchase
Determine cubic yards to fill a raised garden bed or lawn repair area.
🍂
Mulch Coverage
Order the right mulch quantity for landscaping beds at 3–4" depth.
🚗
Gravel Driveway
Calculate crushed stone needed for a driveway resurfacing project.
🏊
Pool Surround
Estimate concrete for a pool deck pour or coping installation.
🏠
Foundation Fill
Compute fill material volumes after foundation excavation or land grading.

Common Mistakes

1
Mixing feet and inches
Using feet for length but inches for depth produces a 12× error. Convert depth to feet first (4" = 0.333 ft).
2
Forgetting the waste factor
Concrete should include 5–10% overage. Under-ordering causes costly pour interruptions and visible cold joints.
3
Wrong shape formula for circles
Calculating a circular area as L×W instead of π×r² overcalculates volume by approximately 27%.
4
Using nominal lumber dimensions
A 2×6 form board is actually 1.5"×5.5" — always measure the finished cavity, not the board nominal size.
5
Ignoring minimum order quantities
Most ready-mix suppliers require a 1–2 cubic yard minimum per delivery. Small jobs may need bagged mix.

Material Volume-to-Weight Reference

Material lb / cu yd kg / cu yd Notes
Topsoil 2,000 907 Varies with moisture
Mulch (wood chip) 400 181 Very lightweight
Gravel (crushed) 2,800 1,270 Varies by stone size
Dry sand 2,700 1,225 Dry compacted
Ready-mix concrete 4,050 1,837 Standard mix
Crushed stone (3/4") 2,500 1,134 Road base grade

References

  1. American Concrete Institute. ACI 318-19: Building Code Requirements for Structural Concrete. ACI, 2019.
  2. Portland Cement Association. Concrete Slab Thickness Design Guide. PCA, 2020.
  3. National Ready Mixed Concrete Association. Concrete Basics. NRMCA, 2022.
  4. Kosmatka, S.H. et al. Design and Control of Concrete Mixtures. Portland Cement Association, 2011.
  5. USDA Natural Resources Conservation Service. Landscape Architecture Technical Note. USDA, 2021.