CM to Feet Calculator: Quick & Accurate Conversion
- Decimal feet
- ft
- Result
- Total inches
- in
- Result
- Length
- 170 cm
- You entered
This calculator converts centimeters to feet and inches instantly. Enter a length in centimeters, and you’ll get the equivalent in feet and inches, plus the decimal feet value. The conversion is based on the exact international standard: 1 inch equals 2.54 cm, and 1 foot equals 30.48 cm.
Formula
The core conversion uses two fixed relationships:
- 1 inch = 2.54 cm (exact)
- 1 foot = 12 inches = 30.48 cm
So to convert centimeters to feet: feet = cm ÷ 30.48. To get the inches part, take the decimal remainder and multiply by 12.
Worked Example
Using the default value of 170 cm:
- Feet (decimal) = 170 ÷ 30.48 = 5.5774 ft
- Whole feet = 5 ft
- Remainder = 0.5774 × 12 = 6.93 in
- Result: 5 ft 6.93 in (≈ 5 ft 7 in)
The calculator shows 5 ft 7 in (rounded to nearest inch) as the headline answer.
Why Convert cm to Feet?
Centimeters are standard in most of the world, but feet and inches are still used in the US, UK (for height), and a few other places. You might need this for:
- Reading your height on a US driver’s license or medical form
- Buying furniture or clothing from a US website
- Understanding sports stats (e.g., basketball player heights)
- Construction or DIY projects with imperial measurements
How to Do It Manually
If you don’t have a calculator, here’s the step-by-step method:
- Divide cm by 30.48 to get decimal feet.
- The whole number is the feet part.
- Multiply the decimal remainder by 12 to get inches.
- Round inches to the desired precision (usually nearest whole inch).
For example, 160 cm ÷ 30.48 = 5.2493 ft → 5 ft + (0.2493 × 12) = 5 ft 2.99 in → 5 ft 3 in.
Common Mistakes & Misconceptions
- Mixing up feet and inches: Remember that 1 ft = 12 in, not 10. The decimal part of feet is not inches.
- Using the wrong conversion factor: Some old sources say 1 inch = 2.54 cm (correct), but rounding to 2.5 cm will cause errors over many inches.
- Forgetting to round properly: For height, people usually round to the nearest inch. For precise measurements, keep decimals.
- Assuming 1 cm = 0.01 m is enough: That’s true, but you still need the inch factor.
Practical Applications
This conversion appears in daily life more than you’d think:
- Height: 175 cm is often said as “5’9â€�â€� – actually 5’8.9â€�.
- Room dimensions: A 300 cm wall is about 9.84 ft (9 ft 10 in).
- TV screens: A 152 cm diagonal is a 60-inch TV (152 ÷ 2.54 = 59.8 in).
- Furniture: A 90 cm desk height is about 2 ft 11 in.
Limits of the Formula
The conversion is exact because the inch is defined as 2.54 cm. There is no rounding error in the factor itself. However, any measurement in cm may have its own uncertainty. Also, when you round to whole inches, you lose precision – 170 cm could be 5’6.9â€� or 5’7â€� depending on rounding convention. For engineering work, use decimal feet or keep inches with decimals.
Frequently Asked Questions
How many cm in a foot?
Exactly 30.48 cm. This comes from the definition: 1 inch = 2.54 cm, and 1 foot = 12 inches, so 12 × 2.54 = 30.48.
What is 180 cm in feet and inches?
180 cm ÷ 30.48 = 5.9055 ft, so 5 ft + (0.9055 × 12) = 5 ft 10.87 in, which rounds to 5 ft 11 in.
Is 5’11â€� the same as 180 cm?
Almost. 5’11â€� = 71 inches = 71 × 2.54 = 180.34 cm. So 180 cm is about 5’10.9â€�, which is usually rounded to 5’11â€�.
How do I convert cm to feet and inches in Excel?
Use =INT(A1/30.48) for feet and =ROUND(MOD(A1,30.48)/2.54,1) for inches. Or use =A1/2.54 to get total inches and then divide by 12.
What is the difference between a foot and a feet?
“Feet� is the plural of “foot�. You say one foot, two feet. In measurements, both are used: “5 feet� or “5 ft�.
Why do some countries use feet while others use cm?
The imperial system (feet/inches) is used mainly in the US, and partially in the UK and Canada for height. The metric system is the official standard in most other countries. The US officially adopted the metric system in 1866 but continues to use imperial for everyday measurements.
Related
Formula used
in cm | Length | cm | 170 | 0 out ft_in | Feet & inches | ft + in | cm / 30.48 | 2 out ft_dec | Decimal feet | ft | cm / 30.48 | 2 out in_total | Total inches | in | cm / 2.54 | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.