Height is one of the most personal numbers people convert between units, and it's also one of the easiest to get slightly wrong because the result rarely lands on a clean whole number of feet and inches. If you've ever seen "170 cm" and wondered exactly how that translates to feet and inches, here is the precise method instead of a rounded rule of thumb.
The Exact Conversion Factor
Centimeters and feet both derive from the meter, and the exact relationship is:
- 1 centimeter = 0.0328084 feet
- 1 foot = 30.48 centimeters
- 1 inch = 2.54 centimeters (exact, by international definition)
Because 1 inch = 2.54 cm exactly and 1 foot = 12 inches, 1 foot = 12 × 2.54 = 30.48 cm exactly, which is where the 0.0328084 figure (1 ÷ 30.48) comes from.
How to Convert CM to Feet
To convert centimeters to feet as a decimal, multiply by 0.0328084 (or divide by 30.48). To express the result as feet and inches rather than a decimal, take the whole number of feet, then convert the remainder to inches by dividing by 2.54.
cm → feet (decimal): feet = cm × 0.0328084 cm → feet & inches: divide cm by 30.48 for feet, then convert the decimal remainder × 12 for inches
Worked Example
Let's convert a height of 170 cm:
170 × 0.0328084 = 5.577 feet
That decimal isn't very intuitive on its own, so convert it to feet and inches: 5 whole feet, then 0.577 × 12 = 6.93, rounded to 7 inches.
So 170 cm ≈ 5 feet 7 inches. For a second example, 182 cm × 0.0328084 = 5.971 feet, which is 5 feet and (0.971 × 12) = 11.65, rounding to 5 feet 12 inches — which actually rounds up to exactly 6 feet, a good reminder to double-check edge cases near a whole foot. Instead of doing this two-step math by hand, use the CM to Feet Converter or the Feet to CM Converter for an instant, accurate feet-and-inches result.
Height Conversion Chart
| Centimeters | Feet (decimal) | Feet & Inches |
|---|---|---|
| 150 | 4.92 | 4'11" |
| 160 | 5.25 | 5'3" |
| 165 | 5.41 | 5'5" |
| 170 | 5.58 | 5'7" |
| 175 | 5.74 | 5'9" |
| 180 | 5.91 | 5'11" |
| 190 | 6.23 | 6'3" |
Common Mistakes to Avoid
The biggest mistake is treating the decimal feet value as if the digits after the decimal point are inches — 5.58 feet is not "5 feet 58 inches," it's 5 feet plus 0.58 × 12 = 6.96, or about 7 inches. Another common error is using an overly rounded factor like 0.033 instead of 0.0328084, which introduces a noticeable drift over larger height or length values. Finally, remember that height conversions often get rounded to the nearest whole inch in casual conversation, so 5'7" could represent anywhere from about 169.5 cm to 172 cm.
Frequently Asked Questions
Q: How do I convert cm to feet and inches, not just decimal feet? A: Divide the cm value by 30.48 to get decimal feet, keep the whole number as feet, then multiply the decimal remainder by 12 to get inches.
Q: What is 5 feet 7 inches in cm? A: 5 feet 7 inches equals 67 inches total, and 67 × 2.54 = 170.18 cm.
Q: Why do online converters sometimes show slightly different results for the same height? A: Small differences usually come from rounding at different decimal points; using the exact factors (2.54 cm per inch, 30.48 cm per foot) avoids this discrepancy.
