CM to Ft Length Converter

in_total = cm ÷ 2.54  |  ft = ⌊in_total ÷ 12⌋  |  in = in_total − ft × 12

cm — the input length in centimeters.

in_total — total inches (decimal); 1 in = 2.54 cm exactly.

ft — whole feet (floor division by 12).

in — remaining inches after extracting whole feet.

Worked example — 175 cm

Using the common adult height of 175 cm:

Convert to total inches: 175 ÷ 2.54 = 68.898… in.

Extract whole feet: ⌊68.898 ÷ 12⌋ = 5 ft.

Remaining inches: 68.898 − (5 × 12) = 8.90 in.

Result: 5 ft 8.90 in (commonly written 5′9″ in conversation).

Conversion table — common heights CMFeet & Inches (precise)Rounded
150   4 ft 11.06 in   4′11″  
155   5 ft 1.02 in   5′1″  
160   5 ft 2.99 in   5′3″  
165   5 ft 4.96 in   5′5″  
170   5 ft 6.93 in   5′7″  
175   5 ft 8.90 in   5′9″  
180   5 ft 10.87 in   5′11″  
183   6 ft 0.05 in   6′0″  
185   6 ft 0.83 in   6′1″  
190   6 ft 2.80 in   6′3″  
195   6 ft 4.77 in   6′5″  
200   6 ft 6.74 in   6′7″  

History & standards

The inch is rooted in Roman and Anglo-Saxon tradition, historically the breadth of a thumb. It was standardized internationally in 1959 when the US, UK, Australia, Canada, New Zealand and South Africa signed the International Yard and Pound Agreement, fixing 1 inch = 25.4 mm exactly. From this, 1 ft = 0.3048 m exactly follows. The meter itself has been defined since 1983 as the distance light travels in 1/299,792,458 s.

Common applications

Human height. Medical, sporting and fashion contexts still use ft″ notation in the US and UK.

Door & ceiling heights. Standard US interior doors are 6′8″ (203.2 cm); ceilings 8′ (243.8 cm).

Clothing & inseams. Trouser lengths are listed in inches; converting from cm ensures a correct fit.

Athletics. High-jump records are often reported in both metric and imperial.

Travel & real estate. Room dimensions in US listings appear in feet; metric buyers need the cm equivalent.

Reverse conversion

To convert feet and inches back to cm: multiply feet by 30.48, multiply inches by 2.54, and sum the two. Use the feet and inches to cm calculator for instant results.

Limitations & gotchas

Rounding. “5′9″” is colloquially used for anything from 174.5–175.5 cm. For precision work always use the decimal inch result.

US survey foot (deprecated). NIST retired the US survey foot in 2023. The international foot (0.3048 m) is now the sole legal definition in the US.

Shoe size. Foot length in cm ≠ shoe size — sizing systems vary by country and manufacturer.

Sources & references

NIST SP 811, Guide for the Use of the International System of Units (SI).

BIPM, The International System of Units (SI), 9th edition.

1959 International Yard and Pound Agreement (signed by US, UK, Australia, Canada, New Zealand, South Africa).

Federal Register Vol. 88, No. 60 (2023) — deprecation of the US survey foot.