Convert cm to Feet: Quick Formula & Examples

To convert centimeters to feet, divide the number of centimeters by 30.48. For example, 180 cm ÷ 30.48 = 5.9055 feet (about 5 feet 10.9 inches). This calculator does that conversion instantly for any length you enter.

Formula

The conversion uses two fixed relationships:

• 1 inch = 2.54 centimeters (exact, by international definition)
• 1 foot = 12 inches

Combining them: 1 foot = 30.48 centimeters

So the formula is:

feet = centimeters ÷ 30.48

Where centimeters is the length you start with and feet is the result. To get feet and inches separately, first divide by 30.48 to get decimal feet, then take the whole number as feet and multiply the fractional part by 12 to get inches.

Worked Example

Using the calculator’s default of 180 cm:

1. Divide by 30.48: 180 ÷ 30.48 = 5.9055 feet
2. The whole number is 5 feet.
3. The fractional part is 0.9055 feet. Multiply by 12: 0.9055 × 12 = 10.866 inches.
4. So 180 cm = 5 feet 10.9 inches (rounded to one decimal).

The calculator shows 5.91 feet (rounded to two decimals) as the main answer, then breaks it into 5 feet and 10.9 inches.

Why 30.48? The History of the Inch

The number 30.48 comes from the international yard and pound agreement of 1959, which defined the yard as exactly 0.9144 meters. Since a foot is one-third of a yard, that makes 1 foot = 0.3048 meters = 30.48 centimeters. Before 1959, the US and Commonwealth countries had slightly different foot lengths (differing by about 2 parts per million), but today the 30.48 value is standard worldwide for most purposes.

The centimeter itself is defined as 1/100 of a meter, and the meter is now based on the speed of light. So the cm-to-foot conversion is ultimately tied to the most precise measurements in physics, though you only need 30.48 for everyday use.

How to Convert cm to Feet and Inches Manually

If you don’t have a calculator handy, here’s the step-by-step method:

1. Divide centimeters by 2.54 to get total inches (since 1 inch = 2.54 cm).
2. Divide that total by 12 to get feet. The whole number is the feet.
3. Take the remainder (total inches − feet × 12) as the inches.

Example for 170 cm:

• 170 ÷ 2.54 = 66.929 inches
• 66.929 ÷ 12 = 5 feet with remainder 6.929 inches
• Result: 5 feet 6.9 inches

This method avoids decimals in feet and is what people usually want for height measurements.

Common Mistakes and How to Avoid Them

The most frequent error is using 30.5 or 30 instead of 30.48. That small difference adds up: over 180 cm, using 30 gives 6.0 feet instead of 5.91 feet – a noticeable error. Another mistake is mixing up inches and feet in the result. When you get 5.91 feet, that does not mean 5 feet 91 inches. It means 5 feet plus 0.91 of a foot, which is about 10.9 inches.

Also, be careful when converting in the other direction: to go from feet to centimeters, multiply by 30.48, not divide. A quick sanity check: 1 foot is about 30 cm, so a 6-foot person is roughly 183 cm. If your answer is wildly different from that, you likely used the wrong operation.

When You Need This Conversion

You’ll most often convert cm to feet for human height, especially when comparing measurements from countries that use the metric system (most of the world) with those that use imperial (US, UK, and a few others). Other common uses:

• Furniture dimensions – a 120 cm desk is about 3.94 feet, which matters for room layout.
• Clothing and shoe sizes – some international size charts list inseams in cm.
• Sports equipment – ski lengths, bike frame sizes, and surfboard lengths are often in cm.
• Construction and DIY – many building materials have metric specs that need translating for imperial tools.

In all these cases, the conversion is exact and unambiguous – no rounding is needed unless you want a simpler number.

Limitations of the Simple Formula

The formula is exact for length, but rounding matters depending on context. For height, people usually round to the nearest inch (e.g., 180 cm = 5’11”). For furniture, rounding to the nearest tenth of a foot (0.1 ft) is often enough. For precise engineering, you’d keep more decimals or use the exact 30.48.

One thing the formula does not account for is the difference between US survey feet and international feet. The US survey foot (used for land surveying) is 1200/3937 meters, which is about 30.48006 cm – a tiny difference of 0.00006 cm per foot. For most purposes this is negligible, but for large distances (miles of land) it can add up. In 2022, the US National Institute of Standards and Technology officially deprecated the survey foot, so the international foot is now the standard in the US as well.

Frequently Asked Questions

How many cm is 5’10”?

5 feet 10 inches is 70 inches total (5×12 + 10). Multiply by 2.54 to get 177.8 cm. So 5’10” is exactly 177.8 cm.

What is 170 cm in feet and inches?

170 cm ÷ 2.54 = 66.93 inches. Divide by 12: 5 feet with 6.93 inches left over. So 170 cm is about 5’7″ (rounded to the nearest inch).

Is 180 cm the same as 6 feet?

Not exactly. 180 cm is 5.9055 feet, which is 5 feet 10.9 inches. Six feet is 182.88 cm. The difference is about 2.9 cm, so 180 cm is often rounded to 6’0″ in casual conversation, but technically it’s just under.

Why is 1 foot exactly 30.48 cm?

Because the international yard was defined as exactly 0.9144 meters in 1959. Since 1 foot = 1/3 yard, that gives 0.3048 meters, which equals 30.48 centimeters. It’s a defined constant, not a measurement.

How do I convert feet and inches to cm?

Convert feet to inches (multiply by 12), add the inches, then multiply the total by 2.54. For example, 5’11” = (5×12 + 11) = 71 inches × 2.54 = 180.34 cm.

What is the fastest way to estimate cm to feet in my head?

Divide by 30 for a rough estimate. For example, 180 cm ÷ 30 = 6 feet (slightly over). For a better estimate, divide by 30 and then subtract 2%: 6 − 0.12 = 5.88 feet, which is close to the true 5.91. This works because 1/30.48 ≈ 0.032808, and 1/30 = 0.033333 – a 1.6% difference.

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in cm | Centimeters | cm | 180 | 0
out ft | Feet | ft | cm / 30.48 | 2
out ft_in | Feet and inches | - | floor(cm / 30.48) | 0
out inches | Remaining inches | in | (cm / 2.54) - floor(cm / 30.48) * 12 | 1