The formula
cm = ft × 30.48
Where the factor comes from — each unit by its definition, then its size in SI:
1 ft = 12 × in = 0.3048 m1 cm = m / 100 = 0.01 m
Dividing the two SI sizes gives the factor: 30.48, exact — every step above is a definition, not a measurement. The reverse factor is 0.0328083989501.
Every formula on this site takes lengths in metres. Heights, distances and stopping distances quoted in feet, inches or miles have to be converted first — getting it wrong by a factor of 3.28 is the most common unit slip in homework.
Worked examples
- A sprint track straight (100 m): 328.084 ft = 10,000 cm — 328.084 × 30.48 = 10,000
- A marathon (42.195 km): 138,435 ft = 4,219,500 cm — 138,435 × 30.48 = 4,219,500
- A tall doorway: 6 ft = 182.88 cm — 6 × 30.48 = 182.88
- A school ruler: 0.984252 ft = 30 cm — 0.984252 × 30.48 = 30
Frequently asked questions
How many centimetres is 1 ft?
1 ft = 30.48 cm, exactly, from the unit definitions.
How do I convert centimetres back to feet?
Divide by 30.48 — or multiply by 0.0328083989501: 1 cm = 0.0328083989501 ft.