Cubic Feet Formulas by Shape
Volume formulas vary by shape. All measurements must be in feet:
- Rectangle / Box: L × W × H
- Cylinder: π × r² × H (r = radius in ft)
- Triangular prism: 0.5 × Base × Height × Length
To convert inches to feet, divide by 12. For example, a 6-inch depth = 0.5 ft. To convert centimeters to feet, divide by 30.48.
Cubic Feet Unit Conversion Reference
- 1 ft³ = 0.0370 cubic yards
- 1 ft³ = 0.0283 cubic meters
- 1 ft³ = 28.317 litres
- 1 ft³ = 7.4805 US gallons
- 1 ft³ = 6.2288 UK gallons
- 1 ft³ = 1,728 cubic inches
Cubic feet are commonly used in the US for refrigerator and freezer capacity, HVAC ductwork, shipping volumes and concrete bag yields.
Frequently Asked Questions
How do I calculate cubic feet of a room?
Measure the room's length, width and ceiling height in feet, then multiply all three. A 12×15 ft room with 9 ft ceilings has 1,620 cubic feet of air volume.
How many cubic feet are in a cubic yard?
There are exactly 27 cubic feet in one cubic yard (3 ft × 3 ft × 3 ft = 27 ft³).
How many 80 lb bags of concrete fill one cubic foot?
One 80 lb bag of pre-mix concrete yields approximately 0.60 cubic feet of mixed concrete, so you need about 1.67 bags per cubic foot — roughly 45 bags per cubic yard.