Cm to Feet Converter & Formula

This calculator converts centimeters to feet and inches. Enter the length in centimeters, and you get the equivalent in feet and inches, plus the decimal feet value. The result is shown instantly with the standard conversion formula.

Formula

The conversion uses two fixed relationships:

• 1 inch = 2.54 centimeters (exact, by international definition)
• 1 foot = 12 inches = 30.48 centimeters

To convert centimeters to feet:

feet = centimeters ÷ 30.48

To separate the result into feet and whole inches:

whole feet = floor(centimeters ÷ 30.48)
remaining inches = (centimeters − whole feet × 30.48) ÷ 2.54

Variables: centimeters is the input length (cm), feet is the total length in feet (ft), whole feet is the integer part, and remaining inches is the leftover fraction expressed in inches (in).

Worked Example

Using the default value of 170 cm:

1. Total feet = 170 ÷ 30.48 = 5.5774 ft
2. Whole feet = floor(5.5774) = 5 ft
3. Remaining length = 170 − 5 × 30.48 = 170 − 152.4 = 17.6 cm
4. Remaining inches = 17.6 ÷ 2.54 = 6.9291 in
5. Rounded to the nearest inch: 7 in

So 170 cm = 5 ft 7 in (or 5.58 ft as a decimal). The calculator shows the same result.

Why Convert Centimeters to Feet?

Centimeters are the standard unit of length in most of the world, used in science, medicine, and daily life. Feet and inches remain common in the United States, Canada (for height), and the UK (for some measurements). People convert for:

• Reading a person’s height on a driver’s license or medical form
• Buying furniture or clothing sized in feet and inches
• Understanding product dimensions listed in imperial units
• Comparing sports statistics (e.g., high jump or basketball player heights)

Knowing both systems helps when reading international specifications or communicating with people who use a different system.

How the Conversion Works

The international inch is defined as exactly 2.54 centimeters. That definition, agreed upon in 1959, makes the conversion exact and consistent worldwide. A foot is 12 inches, so one foot is exactly 30.48 centimeters. There is no rounding in the base relationship—only in how you display the result.

For quick mental estimates, remember that 1 cm is about 0.394 inches, and 30 cm is about 1 foot. This gives a rough check: 170 cm is slightly more than 5.5 feet, which matches the exact 5.58 ft.

Common Mistakes and How to Avoid Them

The most frequent error is mixing up inches and feet when reading the result. For example, 170 cm is 5 ft 7 in, not 5.7 ft. The decimal point matters: 5.7 ft means 5 feet and 0.7 of a foot (about 8.4 inches), not 5 feet 7 inches.

Another mistake is rounding too early. If you round the decimal feet to one digit (5.6 ft) and then convert that back, you get an error. Always keep full precision until the final step.

Also, remember that the conversion factor is 30.48, not 30 or 31. Using a rounded factor introduces noticeable error for larger lengths. For example, 200 cm ÷ 30 = 6.67 ft, but the correct answer is 6.56 ft—a difference of over an inch.

How to Read the Result

The calculator gives three outputs:

• Feet and inches – the most common format for human height and room dimensions. The inches value is rounded to the nearest whole inch.
• Decimal feet – useful for engineering and construction, where fractions of a foot are easier to use in calculations.
• Meters – included for reference, since many people are familiar with meters from school or travel.

When the inches part is exactly 12, it rolls over to the next foot. For example, 182.88 cm converts to 6 ft 0 in, not 5 ft 12 in. The calculator handles this automatically.

Limits and Precision

The conversion is exact, but the display rounds the inches to the nearest whole number. That means a result like 5 ft 7 in could represent any value from 170.18 cm to 172.72 cm (if rounding to the nearest inch). For precise work, use the decimal feet value or keep more decimal places.

The formula assumes the standard international foot. Some older or regional definitions (like the U.S. survey foot) differ by a tiny fraction, but they are rarely used today outside specific surveying contexts. For everyday use, the international foot is the correct standard.

Also, the calculator is for length conversion only. It does not account for width, area, or volume—those require separate conversions (e.g., square feet or cubic feet).

Frequently Asked Questions

How many feet is 1 cm?

One centimeter is equal to 0.0328084 feet, or about 0.3937 inches. In practical terms, 1 cm is roughly the width of a fingernail, and it takes about 30.48 cm to make one foot.

How do I convert cm to feet without a calculator?

Divide the number of centimeters by 30.48 to get the total feet. For a rough estimate, divide by 30 and then subtract about 1.5% of the result. For example, 170 ÷ 30 = 5.67, minus 0.085 = 5.585 ft, which is close to the exact 5.577 ft.

Is 180 cm the same as 6 feet?

No. 180 cm equals 5 feet 10.87 inches, which rounds to 5 ft 11 in. Six feet is exactly 182.88 cm. The difference is about 2.88 cm, which is noticeable in height.

What is 5 feet 6 inches in cm?

5 feet 6 inches equals 66 inches. Multiply 66 by 2.54 to get 167.64 cm. So 5’6″ is approximately 168 cm.

Why is the conversion factor 30.48?

Because one inch is defined as exactly 2.54 cm, and one foot has 12 inches. Therefore, 12 × 2.54 = 30.48 cm per foot. This definition was internationally standardized in 1959.

How do I convert feet and inches to cm?

Multiply the feet by 12 to get total inches, add the remaining inches, then multiply by 2.54. For example, 5 ft 7 in = (5×12 + 7) = 67 in, and 67 × 2.54 = 170.18 cm.

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in cm | Length in centimeters | cm | 170 | 0
out ft_in | Feet and inches | - | floor(cm / 30.48) + " ft " + round((cm - floor(cm / 30.48) * 30.48) / 2.54) + " in" | 0
out ft | Decimal feet | ft | cm / 30.48 | 2
out m | Meters | m | cm / 100 | 2