Article — CM to Feet and Inches Converter
CM to feet and inches: the full conversion guide
A centimeter is one-hundredth of a meter. To convert centimeters to feet and inches, divide cm by 2.54 to get total inches, then split that into whole feet and a remainder. So 170 cm = 66.93 inches = 5 ft 6.93 in, and 180 cm = 70.87 inches = 5 ft 10.87 in. The ratio 1 in = 2.54 cm is exact by international agreement, signed in 1959.
The math looks fussy on paper, but the underlying relationship is fixed and short: a foot is exactly 30.48 cm, an inch is exactly 2.54 cm, and feet always contain 12 inches. Everything else follows.
What is a centimeter?
A centimeter is one-hundredth of a meter, the base SI unit of length. The meter itself is defined by the speed of light: light travels exactly 299,792,458 meters per second, so one meter is the distance light covers in 1/299,792,458 of a second. The centimeter inherits that precision. The BIPM in Paris maintains the definition through the International System of Units (SI) brochure.
About 95% of the world uses centimeters for everyday length: clothing measurements, room dimensions, body height, packaging. The exceptions are the United States, Liberia, and Myanmar, which kept the older customary system based on feet and inches. Even in those countries, scientific and medical work uses centimeters — doctors record patient height in cm on charts, even though Americans say "five-nine" out loud.
The metric system was invented during the French Revolution in 1799. The original meter was defined as one ten-millionth of the distance from the equator to the North Pole through Paris. That definition turned out to be slightly off (the Earth is not a perfect sphere) but the prototype meter bar that resulted is what later definitions were calibrated against.
CM to feet and inches conversion math
The conversion is two steps. First, divide cm by 2.54 to get a total number of inches. Second, split that total into whole feet and the inch remainder. Whole feet is the integer part of total_inches / 12. The inch remainder is what is left.
Take 175 cm. Step one: 175 / 2.54 = 68.898 total inches. Step two: 68.898 / 12 = 5 with remainder 8.898. Answer: 5 ft 8.90 in. The reverse works the same way in two steps: multiply feet by 12, add the loose inches, multiply by 2.54. For 5 ft 9 in: (5 x 12 + 9) x 2.54 = 69 x 2.54 = 175.26 cm.
1 in = 2.54 cm 1 ft = 30.48 cm1 ft = 12 in 1 m = 39.37 inThe 2.54 figure is not an approximation. In 1959 the United States, the United Kingdom, Canada, Australia, New Zealand, and South Africa signed the International Yard and Pound Agreement. It defined the yard as exactly 0.9144 meters. Since one yard is 36 inches, that fixed the inch at exactly 0.0254 meters = 2.54 cm. Before 1959 the US inch and the British inch differed by about two parts per million — trivial for daily life, but a real problem for precision engineering. NIST has the historical paperwork on file.
Common cm to feet heights (chart)
The most-asked cm-to-feet conversions are heights. Below is the standard range, in 5 cm increments, with feet and inches to two decimals.
- 150 cm = 4 ft 11.06 in (short adult)
- 155 cm = 5 ft 1.02 in
- 160 cm = 5 ft 2.99 in (global avg adult woman)
- 165 cm = 5 ft 4.96 in (US adult woman avg, NHANES)
- 170 cm = 5 ft 6.93 in (global avg adult man)
- 175 cm = 5 ft 8.90 in (US adult man avg)
- 180 cm = 5 ft 10.87 in (above-average tall)
- 185 cm = 6 ft 0.83 in
- 190 cm = 6 ft 2.80 in (NBA guard range)
- 200 cm = 6 ft 6.74 in (very tall)
The CDC publishes US adult averages through the National Health and Nutrition Examination Survey (NHANES). The 2015–2018 round put adult men at 175.3 cm (5 ft 9.0 in) and adult women at 161.5 cm (5 ft 3.6 in). The global figures come from the NCD Risk Factor Collaboration, a Lancet study of 18.6 million adults across 200 countries.
How tall is 170 cm in feet? (and other landmark heights)
170 cm in feet is 5 ft 6.93 in. People usually round to 5 ft 7 in. In decimal feet it is 5.58 ft (170 divided by 30.48). For passport forms that take a single decimal in feet, 5.6 ft is the right entry. Some forms want inches only — 66.93 in, rounded to 67.
180 cm is the height most people argue about. The exact answer is 5 ft 10.87 in, which rounds to 5 ft 11 in. It is not 6 ft — 6 ft is 182.88 cm. The gap is 2.88 cm, more than an inch. Saying "I'm six foot" when you are 180 cm overstates by an inch. The technically correct round-up is 5 ft 11 in.
175 cm sits at 5 ft 8.90 in, ten one-hundredths of an inch shy of 5 ft 9 in. Most height conventions round this to 5 ft 9 in because the difference (2.5 mm) is smaller than the typical variation in how a person stands. The same convention applies to driver licenses and athletic records.
The "5 foot 9" convention versus metric
Americans say "five-nine" for height. The phrase compresses 5 ft 9 in into three syllables and has been standard since at least the 1920s. The convention has its quirks. "Five-nine" is 175.26 cm, not 175 cm flat. People who think of themselves as "five-nine" might be anywhere from 174 cm to 176 cm depending on how they round. Hospitals fix this by recording the cm value directly — "175.5 cm" is unambiguous in a way that "five-nine" is not.
The biggest pitfall in feet-and-inches arithmetic is treating the inch part as a decimal. 5 ft 9 in is not 5.9 ft. It is 5 + 9/12 = 5.75 ft. The inch portion runs 0 to 11, not 0 to 9. If a form asks for height in decimal feet and you write 5.9 when you mean 5 ft 9 in, your height becomes 1.8 m instead of 1.75 m — a 5 cm overstatement.
The opposite convention works in metric countries. People in the Netherlands, Germany, or Brazil give height as a single number: 175 (centimeters) or 1.75 (meters). There is no two-part split, no remainder, no rounding question. The metric form is unambiguous because everything reduces to a single decimal number.
The WHO maintains global height standards for child growth using cm exclusively, even in countries that use feet and inches socially. The standards run from birth through age 19 and are calibrated against six populations from California to Oman. The clinical instrument is always a stadiometer measuring in mm; the conversion to ft+in happens after the fact, if at all.
Common cm-to-feet mistakes
The decimal-feet error is the leader. Writing 5.9 when you mean 5 ft 9 in turns 175 cm into 180 cm. The next most common error is forgetting the rollover at 12. If you compute 5 ft 13 in, the conventional answer is 6 ft 1 in — the 13 inches carry one foot over. Some forms reject 5 ft 13 in as malformed.
A third error is rounding inches too soon. 175 cm produces 8.898 inches in the inch field, not 8.9. If you round to 8.9 before computing decimal feet, you lose 2.4 mm of height. For most uses this is invisible. For sports records, military fitness scoring, or aviation cockpit clearance, the resolution matters.
Divide cm by 30 for a head-math approximation in feet. 180 cm / 30 = 6 ft, but the true answer is 5 ft 10.87 in — the rule overshoots by 1.6%. Subtract 1.6% from the rough answer if you need to be closer: 6 ft - 1.6% = 5.90 ft, which is 5 ft 10.8 in.
CM-to-feet conversion in practice
The conversion comes up in a few specific places. Aviation reports altitude in feet for cockpit clearance and flight levels (FL370 means 37,000 feet), but body height in metric for international medical fitness. The mix is intentional — aviation traces back to the British and US air ministries in the 1920s, when feet were the standard for elevation. The Mars Climate Orbiter, NASA's $125 million spacecraft, was lost in 1999 because Lockheed Martin used pound-seconds and JPL used newton-seconds. The two never met.
In the NBA, the official roster records height in feet and inches without socks, measured at the league combine. Victor Wembanyama, drafted first overall in 2023, is listed at 7 ft 4 in — 223.5 cm. The same player in a FIBA international roster appears as 224 cm. The difference comes down to rounding conventions, not real height.
In construction, the US still uses feet and inches for residential framing, while structural engineering increasingly uses metric. A standard ceiling height of 8 ft is 243.84 cm; a "tall" 10 ft ceiling is 304.8 cm. European apartments quote 2.4 m or 2.5 m for the same dimension. The numbers line up to within a few centimeters once you do the conversion.
Sources
- NIST: Guide to the SI, Appendix B (Conversion Factors)
- NIST: Metric System in the United States
- BIPM: The International System of Units (SI Brochure)
- CDC: NHANES Anthropometric Reference Data
- WHO: Child Growth Standards
- Britannica: Foot (unit of measurement)
- NCD-RisC / The Lancet: A century of trends in adult human height