Most of the world measures height in centimeters. In the United States, height is usually written in feet and inches. Converting between the two is straightforward once you separate the process into two steps: centimeters to inches, then inches to feet and a remainder.
The result is usually written like 5 ft 10.87 in. The feet are a whole number, while the inches keep a decimal. This is not a different measurement from 180 cm; it is the same length expressed in a different format.
The two-step method
First, convert centimeters to total inches by dividing by 2.54. Second, divide the total inches by 12. The whole-number part of that answer is the number of feet; the remainder is the number of inches.
For 180 cm, the total is 70.8661 inches. That is 5 whole feet (60 inches) with 10.8661 inches left over. Rounded to two decimal places, the height is 5 ft 10.87 in.
Step 1: total inches
total in = cm ÷ 2.54
Use the exact inch definition to convert centimeters to inches.
180 cm ÷ 2.54 = 70.8661 in
Step 2: feet and remainder
5 ft + 10.8661 in
Take out whole feet, then keep the leftover inches.
70.8661 in = 5 ft 10.87 in
A full worked example
Here is the calculation written out from start to finish for 180 centimeters:
- Start with the centimeter measurement: 180 cm.
- Divide by 2.54 to get total inches: 180 ÷ 2.54 = 70.8661417… in.
- Divide by 12 to find whole feet: 70.8661417 ÷ 12 = 5 with a remainder.
- Subtract the five whole feet: 70.8661417 − 60 = 10.8661417 in.
- Round the remaining inches to two decimals: 10.87 in. The result is 5 ft 10.87 in.
The total-inches step matters because it gives you one number to work with. Trying to convert centimeters to feet directly and then invent the inches separately usually creates rounding errors.
Common heights
This table shows the result for a range of common adult heights. The total inches column is included so you can check the arithmetic.
| Centimeters (cm) | Total inches (in) | Feet & inches |
|---|---|---|
| 150 | 59.0551 | 4 ft 11.06 in |
| 155 | 61.0236 | 5 ft 1.02 in |
| 160 | 62.9921 | 5 ft 2.99 in |
| 165 | 64.9606 | 5 ft 4.96 in |
| 170 | 66.9291 | 5 ft 6.93 in |
| 175 | 68.8976 | 5 ft 8.9 in |
| 180 | 70.8661 | 5 ft 10.87 in |
| 185 | 72.8346 | 6 ft 0.83 in |
| 190 | 74.8031 | 6 ft 2.8 in |
| 195 | 76.7717 | 6 ft 4.77 in |
| 200 | 78.7402 | 6 ft 6.74 in |
Remaining inches are rounded to two decimal places. The calculator keeps the full precision until the final display.
Why 180 cm is not exactly 5 ft 11 in
Five feet 11 inches equals 71 inches. Multiply 71 by 2.54 and you get 180.34 centimeters. A person who is 180.0 cm tall is therefore about a third of a centimeter shorter than 5'11". The exact conversion is 5 ft 10.87 in, and rounding it to the nearest inch would give 5 ft 11 in — but that is a rounded height, not the exact converted value.
This difference is why two people can both say they are “about 5'11"” while their metric heights read 180 cm and 181 cm. The conversion is precise; the way people round their height is not always consistent.
How rounding to 12 inches is handled
Sometimes the remaining inches round up to 12.00. For example, a height might produce 5 ft 11.996 in. If the display simply rounded the inches, it would show 5 ft 12.00 in, which is not a valid height format. The converter detects that condition, adds one to the feet, and resets the inches to zero. The result becomes 6 ft 0 in.
Converting feet and inches back to centimeters
To go the other way, multiply the feet by 30.48 and the inches by 2.54, then add the two results. For 5 ft 10.87 in:
- 5 ft × 30.48 = 152.4 cm
- 10.87 in × 2.54 = 27.6098 cm
- Total: 152.4 + 27.6098 = 180.0098 cm
The small difference from exactly 180 cm comes from rounding the inches to two decimal places. If you carry the full value, the result returns to 180 cm.
Common mistakes
- Using 12 inches as the remainder limit but forgetting the carry. Always roll 12 inches into an extra foot.
- Converting centimeters directly to feet and then multiplying the decimal by 12 in the wrong place. Work from total inches first.
- Reporting more precision than the measurement supports. A height measured to the nearest centimeter does not become more accurate because the converted inches have two decimals.
Tools for the job
The centimeters to feet and inches converter handles the full calculation and the 12-inch rollover automatically. If you need decimal feet for a drawing or spreadsheet, use the centimeters to feet converter. For the underlying inch conversion, see the cm to inches guide.