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Cubic Yard Calculator (yd³)

Calculate cubic yards for concrete, mulch, topsoil, and gravel. Features area and depth inputs, 10% waste buffer, and ton weight estimates.

Concrete to Order (Cubic Yards)
0.5228yd³
Total Cubic Feet (with waste)14.117 ft³
80 lb Pre-Mix Bags (yield ~0.60 ft³ each)24 bags bags
60 lb Pre-Mix Bags (yield ~0.45 ft³ each)32 bags bags
Cubic Meters (Metric)0.3997 m³
3D Geometric Profile
Step 1: Calculate Stair Profile Staircase Area3.2083 ft²
Formula: A_profile = Rise × Run × [n × (n + 1) / 2]
Substitution: 0.5833 ft × 0.9167 ft × [3 × 4 / 2] = 3.2083 ft²

Computes the tiered stepped profile cross-section for the solid monolithic concrete pour.

Step 2: Multiply by Stairway Width12.833 ft³
Formula: V = A_profile × Width
Substitution: 3.2083 × 4 = 12.833 ft³

Total solid concrete needed for the stairway.

Step 3: Convert to Cubic Yards and Add 10% Safety / Spillage Allowance0.5228 yd³
Formula: Yards = (V_ft3 / 27) × (1 + Waste%)
Substitution: (12.833 / 27) × (1 + 0.1) = 0.4753 × 1.1 = 0.5228 yd³

Ready-mix suppliers always recommend adding 10% to account for uneven grade, ground settlement, and spillage.

Quick Answer

Cubic yards equals Cubic Feet divided by 27: Yards = (Area sq ft × Depth in feet) ÷ 27. For a 10×10 ft patio at 4 inches thick (0.333 ft), you need (100 × 0.333) ÷ 27 = 1.23 cubic yards of material.

Cubic Yard Calculator (yd³) Formula & Sizing Rules

Cubic Yards = (Square Feet × (Depth in inches / 12)) / 27
Mathematical Variable Legend for Cubic Yard Calculator (yd³) Formula & Sizing Rules
VariableDefinitionStandard Units
yd³Cubic Yards to orderyd³
27Cubic feet in one cubic yard (3³ = 27)constant
Depth inLayer thickness in inchesinches

Why Are There 27 Cubic Feet in a Cubic Yard?

Because 1 linear yard equals 3 feet, a three-dimensional cubic yard measures 3 ft × 3 ft × 3 ft = 27 cubic feet. A common mistake is dividing cubic feet by 3 or 9. Always divide by 27.

Common Project Sizing Mistakes

  • Dividing cubic feet by 3 or 9 instead of 27
  • Forgetting that 4 inches of thickness is 4/12 = 0.333 ft, not 0.4 ft

Frequently Asked Questions

How do you calculate cubic yards?▼
Find total square footage, multiply by depth in feet (depth in inches ÷ 12), and divide by 27.
How many bags of mulch or concrete are in a cubic yard?▼
One cubic yard equals 13.5 two-cubic-foot mulch bags, or 45 eighty-pound concrete pre-mix bags.
How many wheelbarrows are in a cubic yard?▼
A standard contractor wheelbarrow holds 6 cubic feet of material. Since 1 cubic yard equals 27 cubic feet, it takes approximately 4.5 contractor wheelbarrow loads to move one cubic yard.
How do you calculate cubic yards from inches?▼
Multiply length (in) × width (in) × depth (in) to get cubic inches, then divide by 46,656 (since 36 × 36 × 36 = 46,656).

Authoritative Sources & Reference Standards

  1. Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — National Institute of Standards and Technology (NIST). Verified 2026-10-01.

    Official SI unit definitions, conversion factors (Appendix B), and precision standards for cubic meters, liters, and US customary units.

Related Volume Calculators

Concrete Volume CalculatorCalculate concrete volume in cubic yards and pre-mix bag counts (80 lb & 60 lb) for slabs, footings, and stairs. Includes 10% waste buffer.Mulch, Soil & Gravel CalculatorCalculate bulk cubic yards and bag counts (2 cu ft & 3 cu ft) for mulch, topsoil, and gravel landscaping beds. Features weight estimates.Cubic Feet Calculator (ft³)Calculate cubic feet from length, width, and height in inches or feet. Instant conversion to gallons, cubic yards, and storage capacity.Rectangular Prism Volume CalculatorCalculate rectangular prism and box volume from length, width, and height. Supports mixed units per field, cubic feet, gallons, and steps.
Reviewed by:VolumeCalculator.org Editorial Team·Last updated: 2026-10-01
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