Need to convert a height, length, or measurement from centimeters into feet? The calculation is straightforward, but there is one detail that often causes confusion: decimal feet and feet-and-inches are not the same format.
To convert cm to feet, divide the measurement in centimeters by 30.48. One foot equals exactly 30.48 centimeters, so 1 cm equals approximately 0.0328084 feet. For example, 180 cm ÷ 30.48 = 5.9055 feet, equivalent to approximately 5 feet 10.87 inches.
This guide explains the formula, provides common conversions, and shows how to calculate measurements accurately.
How to Convert cm to feet
The centimeter (cm) is a metric unit of length, while the foot (ft) is a unit used in the imperial and US customary measurement systems.
The relationship between these units is exact:
CONVERSION FORMULA
\[ \text{Feet}=\frac{\text{Centimeters}}{30.48} \]
Equivalent multiplication formula
\[ \text{Feet}=\text{cm}\times0.03280839895 \]
For example, to convert 150 cm into feet:
\[ 150\div30.48=4.9213\text{ ft} \]
Therefore, 150 centimeters is approximately 4.92 feet.
Interactive cm to feet calculator
Enter length in centimeters (cm)
cm
Decimal feet
5.5774 ft
Feet and inches
5′ 6.93″
170 ÷ 30.48 = 5.577428 feet Copy result
The calculator shows both decimal feet and feet-and-inches, making it useful for height measurements, furniture dimensions, construction projects, and school assignments.
cm to feet Conversion Chart
The following table provides commonly used centimeter-to-feet conversions. Decimal feet are rounded to four decimal places.
| Centimeters (cm) | Feet (ft) |
|---|---|
| 1 | 0.0328 |
| 5 | 0.1640 |
| 10 | 0.3281 |
| 20 | 0.6562 |
| 30 | 0.9843 |
| 40 | 1.3123 |
| 50 | 1.6404 |
| 60 | 1.9685 |
| 70 | 2.2966 |
| 80 | 2.6247 |
| 90 | 2.9528 |
| 100 | 3.2808 |
| 120 | 3.9370 |
| 150 | 4.9213 |
| 160 | 5.2493 |
| 170 | 5.5774 |
| 180 | 5.9055 |
| 190 | 6.2336 |
| 200 | 6.5617 |
One particularly useful conversion is 100 cm = approximately 3.28084 feet. Since 100 centimeters make one meter, this is also the conversion factor from meters to feet.
Convert cm to Feet and Inches
When measuring a person’s height, feet and inches are generally easier to understand than decimal feet.
For example, a height of 175 cm equals approximately 5.7415 feet. However, this does not mean 5 feet 74 inches.
The digits after the decimal point represent a fraction of one foot, not inches.
Step-by-step method
- Divide the centimeter value by 30.48 to get decimal feet.
- Keep the whole-number portion as the number of feet.
- Multiply the fractional portion by 12 to convert it into inches.
- Round the inches to your required precision.
For 175 cm:
\[ 175\div30.48=5.74147 \]
The whole-number portion is 5 feet.
\[ 0.74147\times12\approx8.90 \]
Therefore:
175 cm = approximately 5 feet 8.90 inches, usually expressed as 5 feet 9 inches when rounded to the nearest whole inch.
Common height conversions
| Height (cm) | Feet and inches (approx.) |
|---|---|
| 140 | 4′ 7.12″ |
| 145 | 4′ 9.09″ |
| 150 | 4′ 11.06″ |
| 155 | 5′ 1.02″ |
| 160 | 5′ 2.99″ |
| 165 | 5′ 4.96″ |
| 170 | 5′ 6.93″ |
| 175 | 5′ 8.90″ |
| 180 | 5′ 10.87″ |
| 185 | 6′ 0.83″ |
| 190 | 6′ 2.80″ |
| 195 | 6′ 4.77″ |
| 200 | 6′ 6.74″ |
These measurements can be helpful when completing forms, comparing height measurements across countries, or interpreting size charts.
Understanding Centimeters, Feet, and Inches
Centimeters and feet both measure length, but they belong to different measurement systems.
What is a centimeter?
A centimeter is a unit of length in the International System of Units (SI). The prefix centi- means one-hundredth, so 100 centimeters equal one meter.
Common relationships include:
- 1 centimeter = 10 millimeters
- 100 centimeters = 1 meter
- 1 centimeter = approximately 0.3937 inches
Centimeters are widely used for measuring body height, clothing dimensions, furniture, and smaller objects.
What is a foot?
A foot is a unit of length used in the British imperial and US customary systems.
Its relationships are:
- 1 foot = exactly 12 inches
- 1 foot = exactly 30.48 centimeters
- 1 foot = exactly 0.3048 meters
- 3 feet = 1 yard
The international foot is defined using the meter, making the conversion factor exact rather than estimated.
RapidTables
+1
Difference between metric and imperial measurements
| Feature | Centimeter | Foot |
|---|---|---|
| Symbol | cm | ft |
| Measurement system | Metric (SI) | Imperial / US customary |
| Equivalent in meters | 0.01 m | 0.3048 m |
| Equivalent in inches | 0.3937 in | 12 in |
| Common uses | Height, clothing, objects | Height, rooms, buildings |
Both units describe the same physical quantity. Converting between them changes the numerical representation, not the actual length.
Common cm to feet Conversion Examples
The easiest way to understand the calculation is through everyday measurements.
100 cm to feet
Divide 100 by 30.48:
\[ 100\div30.48=3.28084 \]
100 cm = 3.28084 feet, or approximately 3 feet 3.37 inches.
150 cm to feet
\[ 150\div30.48=4.92126 \]
150 cm = 4.92126 feet, or approximately 4 feet 11.06 inches.
This is often rounded to 4 feet 11 inches for height.
160 cm to feet
\[ 160\div30.48=5.24934 \]
160 cm = 5.24934 feet, or approximately 5 feet 2.99 inches.
Rounded to the nearest inch, the result is 5 feet 3 inches.
170 cm to feet
\[ 170\div30.48=5.57743 \]
170 cm = 5.57743 feet, or approximately 5 feet 6.93 inches.
In everyday height measurements, this is usually expressed as 5 feet 7 inches.
180 cm to feet
\[ 180\div30.48=5.90551 \]
180 cm = 5.90551 feet, or approximately 5 feet 10.87 inches.
Rounded to the nearest inch, this becomes 5 feet 11 inches.
200 cm to feet
\[ 200\div30.48=6.56168 \]
200 cm = 6.56168 feet, or approximately 6 feet 6.74 inches.
For quick reference, this is about 6 feet 7 inches.
How to Convert Feet Back to Centimeters
Sometimes you need to reverse the calculation, especially when comparing measurements from different countries.
To convert feet into centimeters, multiply the measurement in feet by 30.48.
\[ \text{Centimeters}=\text{Feet}\times30.48 \]
For example:
\[ 5\times30.48=152.4\text{ cm} \]
Therefore, exactly 5 feet equals 152.4 centimeters.
For measurements expressed in feet and inches, first convert the entire length into inches.
For example, 5 feet 8 inches:
\[ (5\times12)+8=68\text{ inches} \]
Then multiply by 2.54:
\[ 68\times2.54=172.72\text{ cm} \]
So, 5 feet 8 inches equals exactly 172.72 cm.
Where cm to feet Conversion Is Useful
Centimeter-to-foot conversions appear in everyday situations where metric and imperial measurements overlap.
Measuring human height
Medical records, fitness measurements, and identification documents may express height in centimeters. In countries where feet and inches are common, converting those measurements helps people interpret their height more easily.
For example, a recorded height of 183 cm is approximately 6 feet 0.05 inches, commonly rounded to 6 feet.
Furniture and interior design
Furniture manufacturers may list product dimensions in centimeters, while a room plan uses feet.
A table measuring 180 cm in length is approximately 5.91 feet long. Converting both measurements to the same unit makes comparisons easier.
Construction and architecture
Architectural drawings may use metric units, while contractors work with imperial measurements.
A wall measuring 300 cm is approximately 9.8425 feet long.
For construction work, maintain adequate precision and follow the measurement units required by the project rather than relying on rounded estimates.
Education and science
Students frequently encounter unit conversion problems in mathematics, physics, and engineering.
The calculation demonstrates dimensional analysis: a measurement is multiplied by a conversion ratio so the original unit cancels and the desired unit remains.
For instance:
\[ 90\text{ cm}\times\frac{1\text{ ft}}{30.48\text{ cm}} \approx2.95276\text{ ft} \]
The centimeters cancel, leaving the answer in feet.
Common Mistakes When Converting cm to feet
Although the formula is simple, several mistakes can produce incorrect results.
Confusing decimal feet with inches
A measurement of 5.5 feet does not mean 5 feet 5 inches.
Since half a foot equals 6 inches:
5.5 feet = 5 feet 6 inches.
To convert the decimal part of feet into inches, multiply it by 12.
Using the wrong conversion factor
The exact relationship is 1 foot = 30.48 cm.
Dividing by 30 gives a rough estimate but introduces an error. For example, 180 ÷ 30 gives 6 feet, whereas the correct answer is approximately 5.9055 feet.
Rounding too early
If you round the decimal-feet result before calculating inches, you may lose accuracy.
For example, converting 175 cm to 5.7 feet and then calculating the remaining inches produces a less accurate result than using 5.74147 feet.
Keep several decimal places during the calculation and round only the final answer.
Mixing length with area
Converting centimeters to feet is a linear conversion.
If you are converting square centimeters to square feet, you must use a squared conversion factor:
\[ 1\text{ ft}^2=929.0304\text{ cm}^2 \]
For cubic measurements, the conversion factor must be cubed. Linear conversion formulas cannot be applied directly to area or volume.
How Accurate Is the cm to feet Formula?
The formula using 30.48 is exact because the international foot is defined as 0.3048 meters.
However, the displayed result may be rounded.
For example:
| Precision | 170 cm in feet |
|---|---|
| 2 decimal places | 5.58 |
| 3 decimal places | 5.577 |
| 4 decimal places | 5.5774 |
| 6 decimal places | 5.577428 |
The appropriate precision depends on the application.
For everyday height comparisons, rounding to the nearest inch is usually sufficient. For technical measurements, retain the precision required by the project.
The number of decimal places shown by a calculator should not be confused with the accuracy of the original measurement. If a height was measured only to the nearest centimeter, displaying many decimal places does not make the original measurement more precise.
Quick Mental Conversion from Centimeters to Feet
When a calculator is unavailable, you can estimate feet using a simpler relationship.
Since 30.48 cm equals one foot, dividing centimeters by approximately 30 provides a quick estimate.
For example:
\[ 120\div30=4 \]
The exact result is approximately 3.937 feet.
This shortcut is convenient for rough comparisons, but it slightly overestimates the result.
Another method uses the fact that one meter equals approximately 3.28084 feet.
To estimate 250 cm:
- Convert 250 cm into 2.5 meters.
- Multiply 2.5 by approximately 3.28.
- The result is about 8.2 feet.
The precise result is approximately 8.2021 feet.
For quick everyday calculations, remembering that 100 cm is about 3.28 feet can be particularly useful.
Final Thoughts on cm to feet Conversion
Converting cm to feet requires only one formula: divide the number of centimeters by 30.48.
For measurements expressed in feet and inches, take the whole-number feet and multiply the remaining decimal fraction by 12 to calculate inches.
Remember these three reference values: 1 foot = 30.48 cm, 100 cm ≈ 3.28084 feet, and 1 cm ≈ 0.0328084 feet.
Use the conversion chart or calculator above to obtain the appropriate precision for height measurements, room dimensions, schoolwork, and other everyday calculations.
