ft3 to yd3 Converter - Cubic Foot to Cubic Yard
Cubic Foot (ft³) (ft3) to Cubic Yard (yd³) (yd3)
Direct answer
1 ft3 = 0.037036969217 yd3
yd3 = ft3 × 0.037036969217
Converter
Conversion formula
yd3 = ft3 × 0.037036969217
ft3 = yd3 × 27.0000494406
Example: 10 ft3 = 10 × 0.037036969217 = 0.370369692174 yd3.
Common conversion table
| ft3 | yd3 |
|---|---|
| 1 ft3 | 0.037036969217 yd3 |
| 2 ft3 | 0.074073938435 yd3 |
| 5 ft3 | 0.185184846087 yd3 |
| 10 ft3 | 0.370369692174 yd3 |
| 20 ft3 | 0.740739384348 yd3 |
| 50 ft3 | 1.85184846087 yd3 |
| 100 ft3 | 3.70369692174 yd3 |
| 1,000 ft3 | 37.0369692174 yd3 |
Conversion derivation
Express both ft3 and yd3 in the same base unit m3 (cubic meter), then cancel the shared base unit.
- 1
Rewrite ft3 in the base unit
- 2
Rewrite yd3 in the base unit
- 3
Forward conversion
- 4
Reverse conversion
AI explanation for this conversion
This pre-generated explanation is schema-checked. Numeric results still come from the page formula and calculator.
Cubic Foot to Cubic Yard Conversion Factor
The conversion factor between cubic feet and cubic yards is derived by expressing both units in the common base unit of cubic meters and then taking their ratio.
Definition
A cubic foot (ft3) and a cubic yard (yd3) are both imperial units of volume. The conversion factor is determined by dividing the volume of one cubic foot in cubic meters by the volume of one cubic yard in cubic meters.
Principle
The principle is to cancel the common base unit (cubic meters) when expressing the ratio between the two imperial units. The factor for converting ft3 to yd3 is 0.037036969217, and the reverse factor for converting yd3 to ft3 is 27.0000494406.
Assumptions
- The conversion uses the definitions: 1 ft3 = 0.0283168 m3 and 1 yd3 = 0.764555 m3.
- The result of the division 0.0283168 / 0.764555 yields the conversion factor.
- The result of the division 0.764555 / 0.0283168 yields the reverse conversion factor.
Cautions
- The conversion factors are based on exact definitions and may be subject to rounding in practical use.
- For high-precision calculations, verify the required number of significant figures.
FAQ
How many yd3 are in 1 ft3?
1 ft3 = 0.037036969217 yd3.
How many yd3 are in 10 ft3?
10 ft3 = 0.370369692174 yd3.
How many yd3 are in 100 ft3?
100 ft3 = 3.70369692174 yd3.
What is the formula to convert ft3 to yd3?
Use yd3 = ft3 × 0.037036969217.
How many ft3 are in 1 yd3?
1 yd3 = 27.0000494406 ft3.
What should I check when converting ft3 to yd3?
Use the conversion factor and round the result to the precision required by your calculation.