Feet and Inches to cm: Quick Formula & Common Heights
Ever stared at a height in feet and inches and wished it just told you centimeters? You’re not alone. Converting between imperial and metric measurements is a common need, whether you’re filling out a medical form, checking a product’s dimensions, or just curious. This guide gives you the exact formula used in clinical settings, along with a handy reference table for the most common heights.
1 foot equals: 30.48 centimeters · 1 inch equals: 2.54 centimeters · Conversion formula: cm = (ft × 30.48) + (in × 2.54) · Common height 5’7″ in cm: 170.18 cm · Common height 5’10” in cm: 177.8 cm · Common height 6′ in cm: 182.88 cm
Quick snapshot
- 1 foot = 30.48 cm (Math Salamanders)
- 1 inch = 2.54 cm (Workybooks)
- cm = (ft × 30.48) + (in × 2.54) (Math Salamanders)
- 5’7″ = 170.18 cm (RapidTables)
- 5’10” = 177.8 cm (RapidTables)
- 6′ = 182.88 cm (RapidTables)
- Divide cm by 30.48 for feet (Microsoft Learn)
- Remainder inches = remainder × 2.54 (Microsoft Learn)
- Excel CONVERT function available (Microsoft Learn)
- 5’8″ = ? cm
- 5’9″ = ? cm
- 5’11” = ? cm
Six key conversion values, each verified against authoritative healthcare and educational sources.
| Measurement | Centimeters |
|---|---|
| 1 foot | 30.48 cm |
| 1 inch | 2.54 cm |
| 5’7″ | 170.18 cm |
| 5’10” | 177.8 cm |
| 6′ | 182.88 cm |
| Formula | (ft × 30.48) + (in × 2.54) |
The pattern is simple: once you internalize the base constants, any height becomes a quick arithmetic check.
How do I convert feet and inches to centimeters?
Understanding the conversion formula
- 1 foot = 12 inches
- 1 inch = 2.54 centimeters exactly
- Feet to centimeters: multiply feet by 30.48
The relationship is fixed by international agreement. Workybooks (educational math resource) frames the inches-to-centimeters constant as the foundation for all such conversions. Because 1 foot contains 12 inches, and 1 inch equals 2.54 cm, multiplying feet by 30.48 gives the centimeter equivalent directly.
Step-by-step conversion process
- Convert feet to inches by multiplying feet by 12.
- Add the remaining inches to the total.
- Multiply the total inches by 2.54 to get centimeters.
Math Salamanders (math teaching site) presents this as a three-step process: convert feet to inches, add the extra inches, then multiply by 2.54. For example, 5 feet 4 inches becomes (5 × 12) + 4 = 64 inches, then 64 × 2.54 = 162.56 cm.
The formula is symmetric: students and professionals can use it manually, in a spreadsheet, or via any online converter. The same logic works backwards to turn centimeters into feet.
What is 5 feet 7 inches in centimeters?
5’7″ to cm conversion
Five feet seven inches equals 170.18 centimeters. This result comes from the formula: (5 × 30.48) + (7 × 2.54) = 152.4 + 17.78 = 170.18. RapidTables (conversion tool) confirms this value, and the NHS height conversion chart (UK healthcare authority) lists 5’7″ as 1.70 m, which rounds to 170 cm.
Common height examples
- 5’5″ = 165.1 cm
- 5’8″ = 172.72 cm
- 5’9″ = 175.26 cm
- 5’11” = 180.34 cm
CalculatorSoup (conversion utility) provides identical results for these common heights. The pattern is consistent: each inch adds exactly 2.54 cm.
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