Converter

CM to Feet+Inches (ft+in) Converter

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CM to Feet+Inches (ft+in) Converter

Convert Centimeters to Feet and Inches Format

Quick Reference

150 cm = 4'11"

170 cm = 5'7"

180 cm = 5'11"

CM to Feet+Inches Converter

Result:

5' 9"

(5 feet 9 inches)

Decimal Feet

5.74 ft

Total Inches

68.9 in

Understanding CM to Feet+Inches Conversion

Key Concept: Converting centimeters to feet and inches (ft+in format) is essential for expressing height in the imperial system. The feet+inches notation (e.g., 5'10") is the standard way to express human height in the United States and United Kingdom, making this conversion crucial for medical records, identification documents, and everyday communication.

The feet+inches format combines two imperial units: feet (') and inches ("). One foot equals 12 inches, and this relationship is key to the conversion process. When converting from centimeters, we first determine the total number of feet, then express any remainder as inches. This two-part measurement provides a more intuitive representation for those familiar with the imperial system than decimal feet alone.

The notation uses a single apostrophe (') for feet and double apostrophe (") for inches. For example, someone who is 170 centimeters tall would be written as 5'7" (five feet, seven inches) or 5 ft 7 in. This format is preferred in medical charts, driver's licenses, passports, and casual conversation in countries using the imperial system.

Conversion Formulas

Step 1: Convert CM to Decimal Feet

Decimal Feet = cm ÷ 30.48

Step 2: Extract Whole Feet

Whole Feet = floor(Decimal Feet)

Step 3: Convert Remainder to Inches

Inches = (Decimal Feet - Whole Feet) × 12

Complete Example: Convert 165 cm to feet+inches

Step 1: 165 ÷ 30.48 = 5.4134 feet

Step 2: Whole feet = 5

Step 3: 0.4134 × 12 = 4.96 inches ≈ 5 inches

Result: 165 cm = 5'5"

Rounding Tip: For practical purposes, inches are typically rounded to the nearest whole number or half-inch. Medical measurements may keep one decimal place for precision (e.g., 5'7.3").

Step-by-Step Conversion Process

Step 1: Start with Centimeters

Begin with your height measurement in centimeters.

Example: 178 cm (average male height)

Step 2: Divide by 30.48

Divide the centimeter measurement by 30.48 to get decimal feet.

178 ÷ 30.48 = 5.84 feet

Step 3: Identify Whole Feet

The whole number is your feet measurement. Write this down with a single apostrophe.

5.84 → 5' (5 feet)

Step 4: Calculate Inches

Multiply the decimal part by 12 to convert to inches. Round to your desired precision.

0.84 × 12 = 10.08 ≈ 10 inches

Step 5: Write in Feet+Inches Format

Combine the feet and inches using proper notation.

Final Answer: 178 cm = 5'10" or 5 ft 10 in

Feet and Inches Notation Styles

There are several accepted ways to write feet and inches measurements:

Notation StyleExampleUsage
Prime Symbols5'10"Most common, compact format
Abbreviated5 ft 10 inFormal documents, technical writing
With Periods5 ft. 10 in.Traditional style guides (AP, Chicago)
Full Words5 feet 10 inchesSpelled out in prose, legal documents
Hyphenated5-foot-10When used as a compound adjective

Memory Tip: Remember that inches has TWO syllables, so it gets the double apostrophe ("), while feet has ONE syllable, so it gets the single apostrophe ('). The prime symbol (′) for feet and double prime (″) for inches are the technically correct symbols, but standard apostrophes are commonly used and accepted.

Comprehensive CM to Feet+Inches Table

CentimetersFeet+InchesDecimal Feet
140 cm4'7"4.59 ft
145 cm4'9"4.76 ft
150 cm4'11"4.92 ft
155 cm5'1"5.09 ft
160 cm5'3"5.25 ft
165 cm5'5"5.41 ft
170 cm5'7"5.58 ft
175 cm5'9"5.74 ft
180 cm5'11"5.91 ft
185 cm6'1"6.07 ft
190 cm6'3"6.23 ft
195 cm6'5"6.40 ft
200 cm6'7"6.56 ft

Practical Applications

Medical and Healthcare Records

Healthcare providers in the United States require height in feet and inches for medical charts, prescriptions, and BMI calculations. When international patients visit US hospitals or doctors, their height must be converted from centimeters to the ft+in format. Proper conversion ensures accurate dosing for weight-based medications and correct interpretation of growth charts for children.

Identification Documents

Driver's licenses, state IDs, and some passports require height in feet and inches format. When filling out these documents, individuals must convert from metric measurements commonly used in other countries. Accurate conversion prevents discrepancies that could cause issues during identification verification or border crossings.

Online Dating and Social Media

Dating apps and social media profiles in the US typically require height in feet and inches. International users or those more familiar with the metric system need to convert their height accurately. The feet+inches format (5'10") is more intuitive for American users than decimal feet (5.83 ft) or centimeters (178 cm).

Sports and Athletics

American sports leagues like the NBA, NFL, and MLB list player heights in feet and inches format. International athletes must have their metric heights converted for media guides, trading cards, and official rosters. Understanding both formats allows fans worldwide to compare athlete statistics accurately.

Interesting Height Facts

The 6-Foot Psychological Barrier: In the United States, 6'0" (183 cm) is considered a culturally significant height for men, despite being just a round number in the imperial system. Studies show that people often round up when self-reporting height, with many claiming to be 6 feet when they're actually 5'10" or 5'11".

Measurement Precision Matters: Height measurements can vary by up to 2 cm (about 0.8 inches) throughout the day due to spinal compression. For official documents, measurements are typically taken in the morning and recorded to the nearest half-inch in the US system (e.g., 5'10.5" rather than 5'10.7").

Historical Evolution: The foot as a unit dates back to ancient civilizations, but its exact length varied by region. The modern international foot of exactly 30.48 cm wasn't standardized until 1959. Before this, slight variations existed, causing confusion in international commerce and construction projects.

Conversion Errors Cost Money: Incorrect height conversions have led to costly mistakes in manufacturing and construction. One furniture company faced millions in returns when European bed frames listed in centimeters were incorrectly converted to feet+inches, resulting in products that didn't fit standard US mattresses.

Common Heights Reference

CategoryCentimetersFeet+Inches
Average 12-year-old child150 cm4'11"
Average adult female (US)164 cm5'4.5"
Average adult male (US)177 cm5'10"
Average NBA player201 cm6'7"
Tallest man ever (Robert Wadlow)272 cm8'11"
Standard door height (US)203 cm6'8"

Converting Feet+Inches to Centimeters

To convert in the opposite direction (feet+inches to cm), use this formula:

cm = (feet × 30.48) + (inches × 2.54)

Example: Convert 5'8" to cm

cm = (5 × 30.48) + (8 × 2.54)

cm = 152.4 + 20.32

cm = 172.72 cm

Alternative Method: First convert everything to inches, then multiply by 2.54.

Total inches = (5 × 12) + 8 = 68 inches

Centimeters = 68 × 2.54 = 172.72 cm

Easy Memory Aid

Remember: "Divide, Floor, Times Twelve"

1. Divide cm by 30.48 → 2. Floor for whole feet → 3. Decimal × 12 for inches

Quick check: 180 cm is about 6 feet (actually 5'11")

About the Author

Adam

Co-Founder @RevisionTown

Math Expert specializing in various international curricula including IB (International Baccalaureate), AP (Advanced Placement), GCSE, IGCSE, and other examination boards. Dedicated to making complex mathematical concepts accessible to students worldwide.

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