Cubic Feet to Cubic Yards Calculator
To convert cubic feet to cubic yards, divide the total cubic feet by 27 (or multiply by 0.037037). One cubic yard contains exactly 27 cubic feet (3 ft × 3 ft × 3 ft = 27 ft³).
Standard Reference & Benchmark Chart
| Input Value | Converted Volume | Practical Application |
|---|---|---|
| 27 cu ft | 1.00 cubic yard | Exact 1 Cubic Yard definition |
| 54 cu ft | 2.00 cubic yards | Standard pickup truck bed level full |
| 81 cu ft | 3.00 cubic yards | Medium flowerbed mulch renewal |
| 135 cu ft | 5.00 cubic yards | Residential garage floor slab |
| 270 cu ft | 10.00 cubic yards | Full ready-mix commercial concrete truck |
| 540 cu ft | 20.00 cubic yards | Standard 20-yard roll-off dumpster |
What is the Cubic Feet to Cubic Yards Calculator?
The cubic yard (yd³) is the predominant commercial trading unit for bulk building and landscaping materials throughout the United States and Canada. One cubic yard represents a 3-dimensional cube measuring 3 feet (36 inches) on each side, yielding 27 cubic feet. Quarries, ready-mix concrete batch plants, topsoil suppliers, and dumpster rental companies quote orders and billing in cubic yards rather than cubic feet. Converting cubic feet to cubic yards is a non-negotiable step when sizing driveway concrete slabs, ordering gravel subbases, or purchasing bark mulch for commercial landscapes.
Mathematical Formula & Unit Derivation
Cubic Yards (yd³) = Cubic Feet (ft³) ÷ 27 (or Cubic Feet × 0.037037) Step-by-Step Calculation Example
Suppose a contractor pours a backyard concrete patio measuring 30 feet long, 18 feet wide, and 4 inches deep (4 inches = 0.333 ft). Total cubic feet: 30 × 18 × 0.333 = 180 ft³. Convert to cubic yards: 180 ft³ ÷ 27 = 6.67 cubic yards. With a standard 10% allowance for spillage and subgrade unevenness, the contractor will order 7.5 cubic yards from the ready-mix plant.
Real-World Industry Applications
- Ready-Mix Concrete: Ordering truckloads for footings, sidewalks, and foundation slabs.
- Bulk Mulch & Compost: Estimating truck bed deliveries for garden landscaping beds.
- Dumpster Rentals: Sizing 10-yard, 20-yard, or 30-yard roll-off construction waste dumpsters.
Common Measurement Mistakes to Avoid
- Dividing by 3 or 9 instead of 27: Remember volume scales in three dimensions (3 × 3 × 3 = 27), not area (9).
- Failure to account for compaction: Aggregates and soil compact by 12% to 20% once rolled or tamped.
💡 Expert Field Tips from Marcus Vance, PE
- Always round up ready-mix concrete orders to the nearest quarter or half yard; concrete short-loads carry hefty surcharge penalties.
- 1 cubic yard of wet concrete weighs approximately 4,000 lbs (2 tons); ensure your subgrade and formwork can withstand this dynamic load.
Related Field Guides & Case Studies
Frequently Asked Questions
Why do you divide cubic feet by 27 to get cubic yards?
Because 1 yard equals 3 feet. In three dimensions, a cubic yard is 3 feet long × 3 feet wide × 3 feet high = 27 cubic feet.
How many cubic feet are in a 10 yard dumpster?
A 10 cubic yard dumpster contains 10 × 27 = 270 cubic feet of volume capacity.
How many bags of concrete make a cubic yard?
A standard 80-lb bag yields about 0.60 cu ft. Therefore, you need 27 ÷ 0.60 = 45 bags of 80-lb concrete to make 1 cubic yard. For 60-lb bags (yielding 0.45 cu ft), you need 60 bags.