
Convert ft and Inches to cm – Formula, Table & Guide
Have you ever needed to convert your height from feet and inches to centimeters but found yourself stuck without a calculator? Whether you’re filling out an international form, tracking your fitness, or just curious about metric equivalents, the conversion is simpler than you might think. With just two numbers—30.48 for feet and 2.54 for inches—you can handle any height. This guide walks you through the formula, provides a quick-reference table, and shows you how to reverse the process from centimeters back to feet and inches.
1 foot equals 30.48 cm ·
1 inch equals 2.54 cm ·
5 feet 8 inches 172.72 cm ·
6 feet 1 inch 185.42 cm
Quick snapshot
- Feet × 30.48 (SplashLearn (education publisher))
- Inches × 2.54 (Manuel’s Web (reference site))
- Add both results (SplashLearn (education publisher))
- 5′ = 152.4 cm (BYJU’S (math learning platform))
- 6′ = 182.88 cm (YouTube – Visual Fractions (tutorial channel))
- Common heights table included (BYJU’S (math learning platform))
- cm ÷ 30.48 = feet (Manuel’s Web (reference site))
- Remainder to inches (Manuel’s Web (reference site))
- Sample: 60 cm = 1 ft 11.6 in (Manuel’s Web (reference site))
- Use exact values (30.48, 2.54)
- Round to two decimals
- Check with online calculator
Exact conversion factors from international standards back every table in this guide.
| Measurement | Metric Value | Source |
|---|---|---|
| 1 foot exactly | 30.48 cm | SplashLearn |
| 1 inch exactly | 2.54 cm | SplashLearn |
| Most searched height: 5′10″ | 177.8 cm | BYJU’S |
| Standard conversion used since 1959 | International yard agreement | SplashLearn |
How to Convert Feet and Inches to Centimeters
When you have a height written in feet and inches, the process is a straight two-step multiplication. You handle the feet and inches separately, then add the results together.
Feet to cm formula
- Multiply the number of feet by 30.48 (SplashLearn (education publisher)).
- Example: 5 feet × 30.48 = 152.4 cm (BYJU’S (math learning platform)).
Inches to cm formula
- Multiply the number of inches by 2.54 (Manuel’s Web (reference site)).
- Example: 7 inches × 2.54 = 17.78 cm.
Combined conversion example
To convert 5 feet 7 inches to cm: first convert the whole height to inches (5 × 12 + 7 = 67 inches), then multiply by 2.54: 67 × 2.54 = 170.18 cm (YouTube – Math with Mr. J (tutorial channel)).
For quick mental math, remember that 30 cm is roughly 1 foot, and 2.5 cm is about 1 inch. But for precision—especially in medicine or engineering—always use the exact factors.
The implication: the same formula works for any combination of feet and inches, including fractional inches, as long as you multiply correctly.
Common Height Conversions (ft + in to cm)
Here are some of the most-asked-for heights, calculated using the exact conversions. One pattern: the most searched height, 5′10″, lands exactly at 177.8 cm.
This table lets you read your centimeter equivalent directly.
| Feet & Inches | Total Inches | Centimeters |
|---|---|---|
| 5′1″ | 61 | 154.94 cm (BYJU’S) |
| 5′4″ | 64 | 162.56 cm (BYJU’S) |
| 5′8″ | 68 | 172.72 cm (BYJU’S) |
| 5′10″ | 70 | 177.8 cm (BYJU’S) |
| 6′1″ | 73 | 185.42 cm (YouTube – Visual Fractions) |
What this means: if you know your height in feet and inches, you can read the centimeter equivalent directly from this table. For values not listed, apply the formula.
How to Convert Centimeters to Feet and Inches
Need to go the other direction? The reverse conversion is just as systematic.
Reverse conversion formula
- Divide the total centimeters by 30.48 to get the total feet (Manuel’s Web (reference site)).
- The integer part is the feet. Multiply the decimal remainder by 12 to get the remaining inches.
- Alternatively, divide cm by 2.54, then divide by 12: feeT = integer division; inches = remainder.
60 cm to feet and inches example
- 60 cm ÷ 30.48 = 1.9685 feet. Whole feet = 1.
- Remainder: 0.9685 × 12 ≈ 11.62 inches.
- So 60 cm = 1 foot 11.6 inches (Manuel’s Web).
Most of the world uses metric, so when you travel or fill out international forms, you’ll need to convert your height from cm back to feet and inches. The formula works for any value.
The trade-off: online calculators are convenient, but understanding the math lets you double-check results and handle unusual fractions.
What Is the Exact Formula for ft and in to cm?
The formula is simple, but the numbers 30.48 and 2.54 come from an international agreement.
Derivation of 30.48 and 2.54
- 1 inch is defined as exactly 2.54 centimeters under the 1959 International Yard and Pound Agreement (SplashLearn (education publisher)).
- Since 1 foot = 12 inches, 1 foot = 12 × 2.54 = 30.48 cm.
Using the formula for any input
- Total cm = (feet × 30.48) + (inches × 2.54) (SplashLearn).
- The formula handles fractional inches too: multiply the fraction by 2.54 and add.
- For example, 5 feet 8½ inches = (5×30.48) + (8.5×2.54) = 152.4 + 21.59 = 173.99 cm.
The pattern: once you know the two constants, every conversion follows the same linear math. No lookup tables needed.
Why Accurate Height Conversion Matters
Small rounding errors can have real-world consequences.
Medical records
- BMI calculations require precise height in centimeters. A 2-inch error can shift your BMI category (Manuel’s Web (reference site)).
- Hospitals use metric for medication dosages that depend on body surface area.
Fitness tracking
- Smart scales and fitness apps often require height in cm for accurate body composition estimates (YouTube – Excel tutorial (tech channel)).
International travel forms
- Aviation, driving licenses, and visa applications in most countries require height in centimeters. The International Civil Aviation Organization (ICAO) uses cm for pilot height records.
Many online converters round to whole numbers, which can cause a 0.5 cm discrepancy. For medical or official documents, always use the exact calculation.
The implication: accuracy isn’t just about numbers on a screen; it can affect your health metrics and official records.
What We Know for Sure vs. What’s Still Unclear
Confirmed facts
- 1 foot = 30.48 cm exactly (SplashLearn)
- 1 inch = 2.54 cm exactly (SplashLearn)
- Conversion formulas are linear and apply to any integer or fractional input (Manuel’s Web)
What’s unclear
- Why some countries (e.g., the U.S., U.K.) still predominantly use imperial for height despite metric adoption elsewhere.
- Historical variations in the inch before the 1959 agreement (e.g., the U.S. survey inch differed by about 2 parts per million).
Expert Perspectives on Height Conversion
“One inch is defined as exactly 2.54 centimeters under the international yard and pound agreement of 1959.”
— National Institute of Standards and Technology (NIST), the U.S. federal metrology authority
“Recording height in centimeters is essential for accurate growth monitoring and BMI calculations worldwide.”
— World Health Organization (WHO), global health agency
For anyone dealing with height data—whether for travel, fitness, or medical records—the choice is clear: use the exact conversion factors (30.48 and 2.54) and double-check your math against a reliable calculator. A single rounding error can misrepresent your height by over an inch, which matters when it appears on an official form or a medical chart.
Frequently asked questions
How many cm is 5 feet 10 inches?
5 feet 10 inches equals 177.8 cm (5×30.48 + 10×2.54 = 152.4 + 25.4 = 177.8) (BYJU’S).
What is 6 feet in cm?
6 feet = 6 × 30.48 = 182.88 cm (YouTube – Visual Fractions).
How do I convert 180 cm to feet and inches?
Divide 180 by 30.48 = 5.9055 feet. Whole feet = 5. Remainder 0.9055 × 12 ≈ 10.87 inches. So 180 cm ≈ 5 feet 10.9 inches (Manuel’s Web).
Is 1 inch exactly 2.54 cm?
Yes. The international agreement of 1959 defined 1 inch = exactly 2.54 cm (SplashLearn).
Can I convert feet and inches to cm using a calculator?
Absolutely. Multiply feet by 30.48, inches by 2.54, add the two. Or use an online converter for convenience.
What is the easiest way to remember the conversion?
Remember 30 for feet and 2.5 for inches as rough estimates; for exact values use 30.48 and 2.54.
How accurate are online ft to cm converters?
Most are accurate to two decimal places when they use the correct factors. Avoid converters that round to whole numbers if you need precision (Manuel’s Web).
Why is 1 foot defined as 30.48 cm?
Because 1 foot = 12 inches, and 1 inch = 2.54 cm, so 12 × 2.54 = 30.48 cm (SplashLearn).