Convert cm to feet: height conversion formula and table

Anyone who’s ever filled out a medical form or checked their height against a friend’s knows the metric-to-imperial headache: the exact conversion from centimeters to feet sounds simple, but fractional inches trip up everyday height discussions. Here’s how to get the numbers right, from 180 cm to 170 cm and everything in between, with the exact formula and a conversion table you can actually use.

1 cm equals: 0.0328084 feet ·
Conversion formula: divide cm by 30.48 ·
Common height 180 cm: 5 feet 10.9 inches ·
Common height 170 cm: 5 feet 6.9 inches ·
Total inches in 1 foot: 12 inches

Here are the foundational conversion numbers you need to know:

How tall is 180 cm in feet?

“Divide cm by 30.48 to get feet – the simplest formula for height conversion.” – RapidTables conversion table

Exact height of 180 cm in feet and inches

The precise conversion: 180 cm ÷ 30.48 = 5.90551 feet. To extract inches, take the fractional part (0.90551) and multiply by 12: 0.90551 × 12 = 10.866 inches. So 180 cm = 5 feet 10.9 inches (BYJU’S (educational resource)).

180 cm to feet conversion formula

Use either method: divide cm by 30.48, or multiply cm by 0.0328084 (BYJU’S). Both give the same result because 1 ÷ 30.48 = 0.0328084 exactly. The formula works for any height value.

The implication: 180 cm is always 5 feet 10.9 inches by the standard conversion. Any rounding to 5’10″ or 5’11″ is a simplification, not the precise number.

Is 170 cm 5’7″ or 5’6″?

170 cm conversion to feet and inches

170 cm ÷ 30.48 = 5.57743 feet. The fractional part: 0.57743 × 12 = 6.929 inches. So 170 cm = 5 feet 6.9 inches (BYJU’S (educational resource)).

Why 170 cm is closer to 5’7″ than 5’6″

Because 5’6″ = 66 inches = 167.64 cm, and 5’7″ = 67 inches = 170.18 cm. At 170 cm, you are 0.18 cm short of exactly 5’7″. Standard rounding rules bring it to 5’7″. The margin is tiny: less than 2 millimeters. This is why most height charts and forms list 170 cm as 5’7″ (Cuemath (educational source)).

The pattern: For anyone between 169 cm and 171 cm, the rounding to 5’7″ is defensible but not exact. The strict conversion always yields 5 feet 6.9 inches — the difference between a rounded inch and a precise one.

Is 180 cm 5 10 or 5 11?

180 cm conversion breakdown

180 cm ÷ 30.48 = 5.90551 feet. Inches: 0.90551 × 12 = 10.866 inches. 180 cm = 5 feet 10.87 inches (using the Cuemath divisor method from Cuemath (educational source)). That is 0.13 inches shy of 5’11″.

Common rounding of 180 cm height

Many online calculators and clothing size charts round to the nearest inch: 10.87 inches rounds to 11 inches, producing 5’11″. But the exact value is 5 feet 10.87 inches — not 5’10″ flat, not 5’11″ precisely. The difference is about the thickness of a dime.

The trade-off: If you need precision (medical records, aviation licensing, competitive sports), the exact number is 5 ft 10.9 in. For casual conversation or clothing sizes, 5’11″ is the accepted rounding. Knowing which context you’re in saves confusion.

Is 180 cm considered 6ft?

Height requirement difference between 180 cm and 6 feet

6 feet = 182.88 cm (since 1 ft = 30.48 cm, per Physics Wallah (educational platform)). 180 cm is 2.88 cm shorter — roughly the width of an adult thumb. The difference is immediately noticeable in person.

Who considers 180 cm as 6 feet

Some online profiles and dating apps round 180 cm up to 6 feet. No official standard supports this. The difference (2.88 cm = 1.13 inches) means a person at 180 cm is noticeably shorter than someone who is exactly 6 feet tall.

The catch: Actors and athletes who list themselves as 6 feet are often measured at 182–183 cm. The extra inch and fraction makes a visible difference in side-by-side comparison photos, which is why this rounding is frequently disputed.

Cm to feet + inch conversion table for common heights

100 cm to feet

100 cm ÷ 30.48 = 3.28084 feet. That’s 3 feet 3.37 inches (since 0.28084 × 12 = 3.37). 100 cm = 3 feet 3.4 inches (Cuemath).

150 cm to feet

150 cm ÷ 30.48 = 4.92126 feet. Inches: 0.92126 × 12 = 11.055 inches. 150 cm = 4 feet 11.1 inches (BYJU’S). Commonly rounded to 4’11″.

168 cm to feet

168 cm ÷ 30.48 = 5.51181 feet = 5 feet 6.14 inches (5’6.1″). This is a common height for women in many countries and often rounded to 5’6″.

5 foot 7 in cm

5’7″ = (5 × 30.48) + (7 × 2.54) = 152.4 + 17.78 = 170.18 cm. This is the exact reverse conversion, confirming that 170 cm is indeed 0.18 cm short of 5’7″ (Physics Wallah (educational platform)).

The pattern across these common heights: every conversion yields a fractional inch that standard rounding either drops or pushes up. The difference between the exact decimal and the rounded inch is what fuels the perpetual “am I 5’6″ or 5’7″?” debate.

Steps to convert cm to feet manually

Three approaches, one exact answer — pick the method that suits your tools and comfort level.

1. Method 1: Divide by 30.48

   The standard formula: feet = centimeters ÷ 30.48. Take the result (e.g., 180 ÷ 30.48 = 5.90551). The whole number is the feet; multiply the decimal by 12 for inches (BYJU’s).

2. Method 2: Multiply by 0.0328084

   An equivalent shortcut: feet = centimeters × 0.0328084. Same result as division because 0.0328084 is the reciprocal of 30.48. This is often easier on a calculator or phone.

3. Method 3: Convert to inches first, then feet

   First: inches = cm ÷ 2.54. Then divide by 12 to separate feet and inches (remainder = leftover inches). This is the two-step method taught in many schools (Cuemath).

“The exact conversion should always be used for official records; rounding is for casual conversation.” – TheCalculatorsSite formula guide

The implication: these methods will give the same result regardless of which you choose, so pick the one that feels natural.

For a complete reference with a handy chart and step-by-step examples, check out our detailed cm to feet guide.

Frequently asked questions