Formula
Centimeters = Feet × 30.48Direct answer
Multiply the entered feet value by 30.48 to express it in centimeters (cm). This converts foot (ft) to centimeter (cm) within the documented length family.
Variables and formula
- Feet (ft): the source value measured in foot.
- Centimeters (cm): the same quantity expressed in centimeter.
- Conversion factor: 30.48 centimeters per foot.
Centimeters = Feet × 30.48
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: foot (ft). This foot is the international foot, defined as exactly 0.3048 meter. Named variant used: International foot; the U.S. survey foot (1200/3937 m) is a distinct legacy unit. Reference: National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
Target unit: centimeter (cm). A centimeter is the SI decimal submultiple formed by applying centi (10⁻²) to the meter: 1 cm = 0.01 m. The canonical centimeter definition is used; no alternate named variant is implied. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement.
The ft-to-cm direction remains inside the length quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- ft relationship: The terminating base factor is exact.
- cm relationship: The decimal-prefix relationship is exact.
To audit the factor through the family base unit, divide the raw dataset factors 0.3048 by 0.01. The generator emits that quotient once at 15 significant digits as the canonical direct factor 30.48; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 feet, 10 × 30.48 = 304.8 centimeters. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one foot contains 30.48 centimeters, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 ft | 1 × 30.48 |
30.48 cm |
| 10 ft | 10 × 30.48 |
304.8 cm |
| 100 ft | 100 × 30.48 |
3048 cm |
| 1000 ft | 1000 × 30.48 |
30480 cm |
Interpretation
Read the result as centimeters, not feet. A value entered as ft leaves the calculator labelled cm; this directional distinction matters even when the two units describe the same length quantity.
Assumptions and limitations
- Only non-negative length magnitudes are accepted by this family.
- Foot and mile mean the international foot and international mile. U.S. survey-foot values are outside this family and can differ in legacy geodetic records.
- A conversion does not add significant figures to the source measurement.
Common mistakes
- The prime symbol ′ can denote foot in informal contexts, but ft is used here.
- cm is length; cm² and cm³ are area and volume.
Continue within the Length family
See the Length conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Centimeters to Feet
- Compare another length route: Feet to Meters
- Compare another length route: Feet to Kilometers
- Compare another length route: Feet to Miles
- Compare another length route: Centimeters to Meters
Assumptions
- The entered value uses feet exactly as labelled.
- Only non-negative length magnitudes are accepted by this family.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
- NIST Handbook 44 (2026), Appendix C: General Tables of Units of Measurement; National Institute of Standards and Technology; accessed Aug 7, 2026