Height Conversion Formulas
All height conversions depend on fixed international standards of length measurement defined by international agreement:
- 1 inch = 2.54 centimeters (exact)
- 1 foot = 12 inches
- 1 foot = 30.48 centimeters (exact)
- 1 meter = 100 centimeters
- 1 meter = 3.28084 feet
- 1 meter = 39.3701 inches
Centimeters to Inches
To convert height from centimeters to total inches, divide the length in centimeters by 2.54:
inches = centimeters / 2.54
Inches to Centimeters
To convert height from inches to centimeters, multiply the length in inches by 2.54:
centimeters = inches × 2.54
Feet to Inches
To convert height from feet to inches, multiply the number of feet by 12:
inches = feet × 12
Inches to Feet
To convert total inches into decimal feet, divide the total inches by 12:
feet = inches / 12
Feet to Centimeters
To convert height from decimal feet directly to centimeters, multiply decimal feet by 30.48:
centimeters = feet × 30.48
Centimeters to Feet
To convert centimeters into decimal feet, divide the length in centimeters by 30.48:
feet = centimeters / 30.48
Meters to Centimeters
To convert height from meters to centimeters, multiply meters by 100:
centimeters = meters × 100
Centimeters to Meters
To convert height from centimeters to meters, divide centimeters by 100:
meters = centimeters / 100
Meters to Feet
To convert height from meters to decimal feet, multiply meters by 3.28084:
feet = meters × 3.28084
Feet to Meters
To convert height from decimal feet to meters, multiply feet by 0.3048:
meters = feet × 0.3048
Meters to Inches
To convert height from meters to inches, multiply meters by 39.3701:
inches = meters × 39.3701
Inches to Meters
To convert height from inches to meters, multiply inches by 0.0254:
meters = inches × 0.0254
Centimeters to Feet and Inches
Converting centimeters into standard feet and inches requires a two-step calculation:
- Divide the total centimeters by
2.54to obtain total inches. - Divide total inches by
12to determine the whole number of feet, and take the remainder as inches.
Formulas:
Total Inches = centimeters / 2.54
Feet = floor(Total Inches / 12)
Remaining Inches = Total Inches % 12
Worked Example: For a height of 170 cm:
- Total inches = 170 / 2.54 = 66.9291 inches
- Feet = floor(66.9291 / 12) = 5 feet
- Remaining inches = 66.9291 - (5 × 12) = 6.9291 inches ≈ 6.9 inches
- Result: 5 ft 6.9 in (or 5.58 decimal feet)
Feet and Inches to Centimeters
To convert height given in feet and inches into centimeters, first convert the feet into total inches and then multiply by the conversion factor 2.54:
Formula:
Total Inches = (Feet × 12) + Inches
Centimeters = Total Inches × 2.54
Worked Example: For a height of 5 ft 8 in:
- Total inches = (5 × 12) + 8 = 60 + 8 = 68 inches
- Centimeters = 68 × 2.54 = 172.72 cm
Centimeters to Inches
Converting centimeters directly to inches isolates length into a single imperial unit without grouping into feet. Formula: inches = cm / 2.54.
Practical examples:
- 150 cm: 150 / 2.54 = 59.06 inches
- 160 cm: 160 / 2.54 = 62.99 inches
- 170 cm: 170 / 2.54 = 66.93 inches
- 180 cm: 180 / 2.54 = 70.87 inches
Inches to Centimeters
Converting inches directly to centimeters is straightforward because 1 inch equals exactly 2.54 centimeters. Formula: cm = inches × 2.54.
Practical examples:
- 60 inches: 60 × 2.54 = 152.40 cm
- 65 inches: 65 × 2.54 = 165.10 cm
- 70 inches: 70 × 2.54 = 177.80 cm
- 75 inches: 75 × 2.54 = 190.50 cm
Feet to Centimeters
Converting decimal feet to centimeters uses the factor 30.48 (since 1 foot = 12 inches × 2.54 cm = 30.48 cm). Formula: cm = feet × 30.48.
Examples:
- 5.0 feet: 5.0 × 30.48 = 152.40 cm
- 5.5 feet: 5.5 × 30.48 = 167.64 cm
- 6.0 feet: 6.0 × 30.48 = 182.88 cm
Note: Decimal feet (like 5.5 ft) express fractions of a foot in tenths, whereas feet and inches (like 5 ft 6 in) use twelfths.
Centimeters to Feet
To express centimeters in decimal feet, divide the height in centimeters by 30.48. Formula: feet = cm / 30.48.
Examples:
- 165 cm: 165 / 30.48 = 5.41 decimal feet
- 175 cm: 175 / 30.48 = 5.74 decimal feet
- 185 cm: 185 / 30.48 = 6.07 decimal feet
To convert the fractional decimal portion into inches, multiply the decimal remainder by 12 (e.g., 0.74 × 12 ≈ 8.9 inches).
Meters to Feet
Converting meters to decimal feet uses the standard conversion factor 3.28084. Formula: feet = meters × 3.28084.
Examples:
- 1.65 meters: 1.65 × 3.28084 = 5.41 feet (5 ft 5.0 in)
- 1.75 meters: 1.75 × 3.28084 = 5.74 feet (5 ft 8.9 in)
- 1.85 meters: 1.85 × 3.28084 = 6.07 feet (6 ft 0.8 in)
Feet to Meters
To convert height from decimal feet to meters, multiply by 0.3048. Formula: meters = feet × 0.3048.
Examples:
- 5.0 feet: 5.0 × 0.3048 = 1.524 meters
- 5.75 feet: 5.75 × 0.3048 = 1.7526 meters
- 6.0 feet: 6.0 × 0.3048 = 1.8288 meters
Meters to Inches
Converting meters directly into inches uses the multiplier 39.3701. Formula: inches = meters × 39.3701.
Examples:
- 1.50 meters: 1.50 × 39.3701 = 59.06 inches
- 1.70 meters: 1.70 × 39.3701 = 66.93 inches
- 1.90 meters: 1.90 × 39.3701 = 74.80 inches
Inches to Meters
To convert total inches into meters, multiply by 0.0254. Formula: meters = inches × 0.0254.
Examples:
- 60 inches: 60 × 0.0254 = 1.524 meters
- 68 inches: 68 × 0.0254 = 1.7272 meters
- 72 inches: 72 × 0.0254 = 1.8288 meters
Height Conversion Chart
The conversion reference table below lists exact unit equivalents for common height measurements across centimeters, meters, decimal feet, feet and inches, and total inches.
| Centimeters (cm) | Meters (m) | Decimal Feet (ft) | Feet + Inches (ft in) | Total Inches (in) |
|---|---|---|---|---|
| 140 cm | 1.40 m | 4.59 ft | 4 ft 7.1 in | 55.12 in |
| 145 cm | 1.45 m | 4.76 ft | 4 ft 9.1 in | 57.09 in |
| 150 cm | 1.50 m | 4.92 ft | 4 ft 11.1 in | 59.06 in |
| 155 cm | 1.55 m | 5.09 ft | 5 ft 1.0 in | 61.02 in |
| 160 cm | 1.60 m | 5.25 ft | 5 ft 3.0 in | 62.99 in |
| 165 cm | 1.65 m | 5.41 ft | 5 ft 5.0 in | 64.96 in |
| 170 cm | 1.70 m | 5.58 ft | 5 ft 6.9 in | 66.93 in |
| 175 cm | 1.75 m | 5.74 ft | 5 ft 8.9 in | 68.90 in |
| 180 cm | 1.80 m | 5.91 ft | 5 ft 10.9 in | 70.87 in |
| 185 cm | 1.85 m | 6.07 ft | 6 ft 0.8 in | 72.83 in |
| 190 cm | 1.90 m | 6.23 ft | 6 ft 2.8 in | 74.80 in |
| 195 cm | 1.95 m | 6.40 ft | 6 ft 4.8 in | 76.77 in |
| 200 cm | 2.00 m | 6.56 ft | 6 ft 6.7 in | 78.74 in |
Common Height Conversions
The table below provides direct conversion values for commonly searched heights in both imperial-to-metric and metric-to-imperial formats.
| Imperial Height | Centimeters (cm) | Meters (m) |
|---|---|---|
| 5 ft 0 in | 152.4 cm | 1.52 m |
| 5 ft 1 in | 154.9 cm | 1.55 m |
| 5 ft 2 in | 157.5 cm | 1.58 m |
| 5 ft 3 in | 160.0 cm | 1.60 m |
| 5 ft 4 in | 162.6 cm | 1.63 m |
| 5 ft 5 in | 165.1 cm | 1.65 m |
| 5 ft 6 in | 167.6 cm | 1.68 m |
| 5 ft 7 in | 170.2 cm | 1.70 m |
| 5 ft 8 in | 172.7 cm | 1.73 m |
| 5 ft 9 in | 175.3 cm | 1.75 m |
| 5 ft 10 in | 177.8 cm | 1.78 m |
| 5 ft 11 in | 180.3 cm | 1.80 m |
| 6 ft 0 in | 182.9 cm | 1.83 m |
Height Conversion: cm, m, ft and in Explained
Understanding how different length units represent human stature helps avoid confusion when analyzing international data:
- Centimeter (cm): A metric unit of length equal to 1/100th of a meter. Centimeters are the global clinical standard for measuring adult and child stature.
- Meter (m): The base unit of length in the International System of Units (SI). Human height is often expressed in meters in scientific studies (e.g., 1.75 m).
- Inch (in): An imperial and US customary unit of length. There are 12 inches in a foot.
- Foot (ft): An imperial unit defined as exactly 0.3048 meters. Human height in customary systems is expressed as a combination of feet and remaining inches (e.g., 5' 10").
A height expressed as 170 cm, 1.70 m, and 5 ft 6.9 in represents the exact same physical stature measured in different units.
Decimal Feet vs Feet and Inches
A common source of error when converting height is confusing decimal feet with feet and inches.
Because 1 foot equals 12 inches (not 10), decimal fractions of a foot do not equal the corresponding number of inches:
- 5.5 feet equals 5 feet plus 0.5 feet. Since 0.5 × 12 inches = 6 inches, 5.5 feet = 5 ft 6 in (not 5 ft 5 in).
- 5.75 feet equals 5 feet plus 0.75 feet. Since 0.75 × 12 inches = 9 inches, 5.75 feet = 5 ft 9 in.
To convert decimal feet to feet and inches manually, keep the whole number as feet and multiply the decimal fraction by 12:
Remaining Inches = decimal fraction × 12
How to Convert Height Manually
Example 1: Converting Centimeters to Inches
Convert 168 cm to total inches:
- Input: 168 cm
- Formula:
inches = cm / 2.54 - Calculation: 168 / 2.54 = 66.1417 inches
- Result: 66.14 inches
Example 2: Converting Centimeters to Feet and Inches
Convert 178 cm to feet and inches:
- Input: 178 cm
- Formula:
Total Inches = cm / 2.54→Feet = floor(Inches / 12) - Calculation: 178 / 2.54 = 70.0787 inches. Feet = floor(70.0787 / 12) = 5 feet. Remaining inches = 70.0787 - 60 = 10.0787 inches.
- Result: 5 ft 10.1 in
Example 3: Converting Feet and Inches to Centimeters
Convert 5 ft 11 in to centimeters:
- Input: 5 feet 11 inches
- Formula:
cm = ((Feet × 12) + Inches) × 2.54 - Calculation: (5 × 12) + 11 = 71 total inches. 71 × 2.54 = 180.34 cm.
- Result: 180.34 cm
Example 4: Converting Meters to Feet
Convert 1.82 m to decimal feet:
- Input: 1.82 meters
- Formula:
feet = meters × 3.28084 - Calculation: 1.82 × 3.28084 = 5.9711 feet.
- Result: 5.97 decimal feet (or 5 ft 11.7 in)
How to Convert Height Between Metric and Imperial Units
Global health organizations and clinical researchers utilize the metric system (centimeters and meters) because it relies on base-10 decimal scaling, eliminating fractional arithmetic errors.
Conversely, consumer media, sports statistics, and everyday conversation in countries like the United States, Canada, and the United Kingdom frequently rely on imperial/customary units (feet and inches).
Converting height between metric and imperial systems requires multiplying or dividing by standardized conversion constants (such as 2.54 cm per inch and 0.3048 m per foot) to preserve absolute physical length accurately across formats.
Height Conversion Accuracy and Rounding
Mathematical conversion using exact constants (1 inch = 2.54 cm) provides complete mathematical accuracy. However, practical application requires appropriate rounding:
- Clinical and Medical Records: Report height to the nearest 0.1 cm or 0.1 inch to ensure accurate BMI and medication dosage calculations.
- General Tracking and Fitness: Round centimeters to the nearest whole number (e.g., 175 cm) and feet/inches to the nearest tenth of an inch (e.g., 5 ft 9 in).
- Rounding Rule: Rounding changes the display precision, not the underlying conversion ratio. Use terms like "approximately" when displaying rounded outputs.
Height Conversion Examples
The table below presents verified conversion outputs for key stature benchmarks:
| Original Height | Converted Height | Conversion Type |
|---|---|---|
| 150 cm | approx 4 ft 11.1 in | Centimeters to Feet & Inches |
| 160 cm | approx 5 ft 3.0 in | Centimeters to Feet & Inches |
| 170 cm | approx 5 ft 6.9 in | Centimeters to Feet & Inches |
| 175 cm | approx 5 ft 8.9 in | Centimeters to Feet & Inches |
| 180 cm | approx 5 ft 10.9 in | Centimeters to Feet & Inches |
| 185 cm | approx 6 ft 0.8 in | Centimeters to Feet & Inches |
| 190 cm | approx 6 ft 2.8 in | Centimeters to Feet & Inches |
Frequently Asked Questions About Height Conversion
Divide the height in centimeters by 2.54 to get total inches. Then divide total inches by 12 to find feet (whole number) and use the remainder as the remaining inches. For example, 170 cm / 2.54 = 66.93 inches, which equals 5 feet 6.9 inches.
There are exactly 30.48 centimeters in one foot (1 ft = 30.48 cm).
There are exactly 2.54 centimeters in one inch (1 in = 2.54 cm).
First convert feet into inches by multiplying feet by 12, then add the remaining inches to find total inches. Finally, multiply total inches by 2.54. For example, 5 ft 8 in = (5 × 12) + 8 = 68 inches × 2.54 = 172.72 cm.
Divide the value in centimeters by 2.54. For example, 160 cm / 2.54 = 62.99 inches.
Multiply the height in decimal feet by 0.3048. For example, 6 feet × 0.3048 = 1.8288 meters.
Multiply the height in meters by 3.28084. For example, 1.75 meters × 3.28084 = 5.74 decimal feet (5 feet 8.9 inches).
Multiply the height in meters by 39.3701. For example, 1.80 meters × 39.3701 = 70.87 inches.
Multiply the value in inches by 2.54. For example, 70 inches × 2.54 = 177.8 cm.
170 cm is approximately 5 feet 6.9 inches (or 5.58 decimal feet).
175 cm is approximately 5 feet 8.9 inches (or 5.74 decimal feet).
180 cm is approximately 5 feet 10.9 inches (or 5.91 decimal feet).
Decimal feet expresses height as a single fraction of a foot (e.g., 5.5 feet), where 0.5 feet equals 6 inches. Feet and inches splits height into whole feet and remaining inches (e.g., 5 ft 6 in). Note that 5.5 feet is 5 ft 6 in, not 5 ft 5 in.
Conversion formulas using exact mathematical constants (like 1 inch = 2.54 cm) are exact. However, displayed results are often rounded to 1 or 2 decimal places for practical everyday usability.
For general health tracking, round centimeters to the nearest whole number or 0.1 cm, and inches to 0.1 inch. In medical records, report exact unrounded values or standard tenths.