CM to Feet Converter
Convert Centimeters to Feet and Inches
Quick Reference
1 cm = 0.0328 ft
30.48 cm = 1 ft
180 cm = 5.91 ft
Centimeters to Feet & Inches Converter
Understanding CM to Feet Conversion
Key Concept: The centimeter (cm) is a metric unit of length equal to one-hundredth of a meter, while the foot (ft) is an imperial unit equal to 12 inches or exactly 30.48 centimeters. Converting between these systems is essential for height measurements, international communication, and working across different measurement standards.
Centimeters are part of the International System of Units (SI) and are used worldwide for measuring height, length, and distance. The foot, part of the imperial system, remains widely used in the United States, United Kingdom, and Canada, particularly for measuring human height and building dimensions. One foot is officially defined as exactly 30.48 centimeters, a relationship established through international agreement.
This conversion is particularly important for height measurements, as medical records, identification documents, and everyday conversations about height use different systems in different countries. Understanding both decimal feet (like 5.91 ft) and feet-and-inches format (like 5' 11") allows for clear communication across cultures and measurement systems.
Conversion Formulas
Method 1: Division Formula (most accurate)
feet = centimeters ÷ 30.48
Method 2: Multiplication Formula
feet = centimeters × 0.0328084
Example: Convert 170 cm to feet
feet = 170 ÷ 30.48
feet = 5.577427822
170 cm ≈ 5.58 feet or 5' 6.9"
Converting to Feet and Inches: To get feet and inches, take the whole number as feet, then multiply the decimal part by 12 to get inches. For example: 5.58 feet = 5 feet + (0.58 × 12) = 5 feet 6.96 inches.
Step-by-Step Conversion Guide
Step 1: Note Your Height in Centimeters
Start with your measurement in centimeters.
Example: 165 cm
Step 2: Divide by 30.48
Divide the centimeter value by 30.48 to get decimal feet.
Example: 165 ÷ 30.48 = 5.4134 feet
Step 3: Separate Whole Feet
The whole number part is your feet measurement.
Example: 5 feet (from 5.4134)
Step 4: Convert Decimal to Inches
Multiply the decimal part by 12 to get inches.
Example: 0.4134 × 12 = 4.96 inches
Result: 165 cm = 5' 5"
What is a Centimeter?
The centimeter (symbol: cm) is a unit of length in the metric system, equal to one-hundredth (1/100) of a meter. It is widely used worldwide for measuring shorter distances, heights, and dimensions. The centimeter is one of the most commonly used units in everyday life, particularly for measuring human height, clothing sizes, and small objects.
Metric System Origin
The centimeter is part of the metric system, which was developed in France during the late 18th century. The prefix "centi-" means one-hundredth, derived from the Latin "centum" meaning hundred. The metric system was designed to be based on powers of 10, making calculations and conversions much simpler than traditional systems with irregular conversion factors.
Everyday Applications
Centimeters are the standard unit for measuring height in most countries outside the United States. They're used on rulers, measuring tapes, medical charts, identification documents, and clothing size labels. A standard credit card is 8.5 cm wide, and a standard sheet of A4 paper is 21 cm wide by 29.7 cm tall. Human height typically ranges from about 150 cm to 200 cm.
Relationship to Other Units: 1 centimeter = 10 millimeters = 0.01 meters = 0.3937 inches = 0.0328 feet. Understanding these relationships helps with conversions across different measurement systems.
What is a Foot?
The foot (symbol: ft or ') is a unit of length in the imperial and US customary systems of measurement. One foot is exactly equal to 12 inches or 30.48 centimeters. The foot is commonly used in the United States, United Kingdom, and Canada for measuring height, room dimensions, and shorter distances. It's particularly prevalent for describing human height.
Historical Origins
The foot as a unit of measurement has ancient origins, originally based on the length of a human foot. Throughout history, different civilizations defined the foot differently, ranging from about 25 to 34 centimeters. The English foot, which forms the basis of modern imperial measurements, was standardized in 1959 when international agreement established it as exactly 0.3048 meters (30.48 cm).
Modern Definition and Usage
Since the 1959 International Yard and Pound Agreement, the foot has been officially defined as exactly 30.48 centimeters. In the United States, height is typically expressed in feet and inches (e.g., 5'10"), while in most other countries, centimeters are used (e.g., 178 cm). Both systems describe the same physical measurement but use different units. The foot remains entrenched in US construction, real estate, and aviation.
Feet and Inches Notation: Height is often written as 5'10" (5 feet 10 inches) or 5 ft 10 in. The single prime (') represents feet, while the double prime (") represents inches. This notation is unique to imperial measurements.
Height Conversion Table: CM to Feet & Inches
Centimeters | Decimal Feet | Feet & Inches |
---|---|---|
150 cm | 4.92 ft | 4' 11" |
155 cm | 5.09 ft | 5' 1" |
160 cm | 5.25 ft | 5' 3" |
165 cm | 5.41 ft | 5' 5" |
170 cm | 5.58 ft | 5' 7" |
175 cm | 5.74 ft | 5' 9" |
180 cm | 5.91 ft | 5' 11" |
185 cm | 6.07 ft | 6' 1" |
190 cm | 6.23 ft | 6' 3" |
195 cm | 6.40 ft | 6' 5" |
200 cm | 6.56 ft | 6' 7" |
Practical Applications
Height Measurements and Medical Records
Medical professionals worldwide need to convert between centimeters and feet/inches regularly. Electronic health records in the US use feet and inches, while most international medical systems use centimeters. Accurate height conversion is crucial for calculating BMI (Body Mass Index), determining medication dosages based on body surface area, and assessing child growth patterns against standardized charts.
International Travel and Documentation
Passports, driver's licenses, and identification documents use different height formats depending on the issuing country. Travelers often need to convert their height when filling out visa applications, customs forms, or international driver's permits. Understanding both systems prevents confusion at border crossings and when dealing with foreign authorities.
Sports and Athletics
International sports competitions require height conversions for athlete profiles and eligibility requirements. Basketball players' heights are often reported in feet and inches in the US but in centimeters internationally. Olympic records, FIFA regulations, and other global sporting bodies typically use metric measurements, requiring conversion for American athletes and spectators.
Online Shopping and Clothing
International clothing retailers and e-commerce sites often provide size charts in both centimeters and feet/inches. When purchasing items like pants, dresses, or shoes from international brands, converting height helps determine the correct size. Many fashion brands use height recommendations to suggest appropriate garment lengths, requiring accurate conversion between systems.
Interesting Height Measurement Facts
Height Varies Throughout the Day: Human height can vary by up to 2 cm (about 0.8 inches) throughout the day due to spinal compression from gravity. People are typically tallest in the morning after sleeping and shortest in the evening. Medical measurements are often taken in the morning for consistency.
Average Height Differences: Average height varies significantly by country and gender. Dutch men average 183 cm (6'0"), making them the tallest population globally, while women in Guatemala average 149 cm (4'11"). Accurate height conversion helps understand these global statistics.
The 6-Foot Barrier: In the US, the height of 6 feet (182.88 cm) has psychological significance, often considered a desirable height for men. This has no scientific basis but demonstrates how round numbers in the imperial system influence cultural perceptions of height.
Measurement in Space: Astronauts grow up to 5 cm (2 inches) taller in space due to the absence of gravity's compressive force on the spine. NASA tracks astronaut height in both centimeters and inches to monitor these changes and ensure proper fit in spacesuits and spacecraft.
Common Height Conversions
Description | Centimeters | Feet & Inches |
---|---|---|
Average adult female (Global) | 162 cm | 5' 4" |
Average adult male (Global) | 175 cm | 5' 9" |
Average US female | 164 cm | 5' 4.5" |
Average US male | 177 cm | 5' 10" |
NBA average player | 201 cm | 6' 7" |
Tallest man recorded (Robert Wadlow) | 272 cm | 8' 11" |
Door height standard (US) | 203 cm | 6' 8" |
Converting Feet to Centimeters
To convert in the opposite direction (feet to cm), use this formula:
centimeters = feet × 30.48
For feet and inches, convert to decimal feet first or use:
cm = (feet × 30.48) + (inches × 2.54)
Example: Convert 5'10" to cm
cm = (5 × 30.48) + (10 × 2.54)
cm = 152.4 + 25.4
cm = 177.8 cm
Easy Memory Aid
Remember: "30.48 is the Magic Number"
Divide cm by 30.48 to get feet • Multiply feet by 30.48 to get cm
Quick approximation: 30 cm ≈ 1 foot (actually 30.48 cm)
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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