Height Converter (ft/in ↔ cm)

Formula

cm = (feet × 12 + inches) × 2.54; total_inches = cm / 2.54; feet = floor(total_inches / 12); remaining_inches = total_inches mod 12

feet represents the number of whole feet; inches represents the number of remaining inches; 12 is the conversion factor between feet and inches (1 ft = 12 in); 2.54 is the exact international standard value for centimeters per inch; cm is the resulting height in centimeters; meters is obtained by dividing cm by 100.

Worked example

Feet

5

Inches

10

Or centimeters (optional)

—

• Centimeters: 177.8 cm
• Feet & inches: 5 ft 10 in
• Meters: 1.778 m
• Total inches: 70 in

What the Height Converter Calculates

The Height Converter provides exact mathematical translation between imperial height units (feet and inches) and metric units (centimeters and meters). Most countries use the metric system for official records, medical monitoring, and travel documents, whereas the United States, the United Kingdom, and Canada frequently record personal height in feet and inches.

This tool allows you to input feet and inches to find your stature in centimeters and meters, or input centimeters directly to receive your height expressed in total inches and split feet and inches.

---

The Mathematical Formula

The conversion relies on the international treaty standard established in 1959, which defines one inch as exactly 2.54 centimeters:

1. Convert Feet to Total Inches: $$\text{Total Inches} = (\text{Feet} \times 12) + \text{Inches}$$
2. Convert Total Inches to Centimeters: $$\text{Centimeters} = \text{Total Inches} \times 2.54$$
3. Convert Centimeters to Meters: $$\text{Meters} = \frac{\text{Centimeters}}{100}$$
4. Convert Centimeters to Feet and Inches: $$\text{Total Inches} = \frac{\text{Centimeters}}{2.54}$$ $$\text{Feet} = \lfloor\frac{\text{Total Inches}}{12}\rfloor$$ $$\text{Inches} = \text{Total Inches} \pmod{12}$$

---

Step-by-Step Worked Example

Consider an individual whose measured height is 5 feet and 10 inches (with the optional centimeter field left blank):

• Input:
  • Feet: 5
  • Inches: 10
  • Centimeters: (blank)

Step 1: Calculate Total Inches

Multiply the number of feet by 12 and add the remaining inches: $$\text{Total Inches} = (5 \times 12) + 10 = 60 + 10 = 70\text{ in}$$

Step 2: Convert to Centimeters

Multiply the total inches by the exact constant 2.54: $$\text{Centimeters} = 70 \times 2.54 = 177.8\text{ cm}$$

Step 3: Convert Centimeters to Meters

Divide the centimeter value by 100 to determine length in meters: $$\text{Meters} = \frac{177.8}{100} = 1.778\text{ m}$$

Result Summary

• Centimeters: 177.8 cm
• Feet & inches: 5 ft 10 in
• Meters: 1.778 m
• Total inches: 70 in

For comparison, a shorter baseline of 4 ft 10 in yields 147.3 cm, while a taller height of 6 ft 10 in produces 208.3 cm.

---

How to Interpret the Output

• Centimeters (cm): The standard metric unit used on international driver's licenses, passports, health records, and fitness trackers.
• Feet & Inches: The standard American informal format. A height of 177.8 cm is expressed as 5 ft 10 in.
• Meters (m): Commonly required in scientific formulas, such as Body Mass Index ($$\text{BMI} = \frac{\text{weight in kg}}{\text{height in m}^2}$$).
• Total Inches: Useful for equipment sizing, custom clothing tailoring, and ergonomic desk or bicycle frame setups.

---

Best Practices for Accurate Height Measurement

1. Use a Solid, Flat Surface: Stand barefoot on hardwood, tile, or linoleum rather than deep carpet or rugs.
2. Adopt the Frankfort Plane: Look straight ahead so that an imaginary line from the lower edge of the eye socket to the upper margin of the ear canal is parallel to the ground.
3. Maintain Four Points of Contact: Back of head, shoulder blades, buttocks, and heels should touch the wall.
4. Measure at Consistent Times: Because spinal discs compress under gravity during daytime activity, measure at the same time of day (preferably mid-morning) when tracking growth or trends over time.

---

When Not to Rely on Manual Estimates

While mathematical conversions between units are exact, self-reported or tape-measured heights are subject to error. Do not rely on self-measurement when:

• Sizing custom orthotics or pediatric growth hormone monitoring, where millimeter precision requires a wall-mounted stadiometer.
• Calculating clinical drug doses that depend on exact Body Surface Area (BSA).
• Purchasing regulated occupational safety harnesses or custom aerodynamic sporting gear where certified manufacturer fittings are mandatory.

Comparison

Scenario	Input	Result
Lower input	Feet: 4	Centimeters: 147.3 cm
Base example	Feet: 5	Centimeters: 177.8 cm
Higher input	Feet: 6	Centimeters: 208.3 cm

Common mistakes

• Treating feet and inches as a base-10 decimal (e.g., assuming 5.10 feet means 5 feet 10 inches; 5.10 feet is actually 5 feet 1.2 inches).
• Measuring height while wearing shoes or standing on a carpeted, uneven floor surface.
• Rounding centimeters too early in multi-step medical or ergonomic calculations.
• Confusing meters and centimeters when entering data into health apps or visa documents.

Checklist

• Measure standing upright against a flat wall with shoes and thick socks removed.
• Ensure your heels, buttocks, upper back, and back of the head touch the wall if possible.
• Place a flat object (like a hard ruler or book) horizontally across the crown of your head.
• Mark the wall lightly at eye level to prevent reading errors.
• Verify whether the form or document you are filling requires whole units or decimal precision.
• Double-check that you enter inches less than 12 when entering feet and inches together.

Calculators Percentage Editorial Team

Calculator guides from the Calculators Percentage team. These introductory examples are educational, not professional advice.

Last reviewed: November 12, 2026

This calculator provides standard mathematical conversions based on the international definition of 1 inch = 2.54 cm. It is intended for general informational use.