Converting centimetres to feet is one of those little calculations that comes up far more often than you might expect. Perhaps you have measured your height in centimetres and want to know what it is in feet, or you are looking at a piece of furniture listed in metric units while your tape measure reads in imperial. Whatever the reason, the conversion itself is quick and straightforward once you know the right formula.
This guide explains the exact formula for converting centimetres to feet, shows you where the magic number 30.48 comes from, walks through four worked examples with full arithmetic, and finishes with a handy quick-reference chart and answers to the questions people ask most often.
The Exact Formula for Converting Centimetres to Feet
The formula is delightfully simple:
feet = centimetres ÷ 30.48
To convert any length in centimetres to feet, divide it by 30.48. That is all there is to it. To go the other way — from feet back to centimetres — you simply reverse the operation and multiply: centimetres = feet × 30.48.
But why 30.48? It is not an arbitrary number. Under the 1959 International Yard and Pound Agreement, the inch was defined as exactly 2.54 centimetres. Because a foot contains exactly 12 inches, one foot is therefore 12 × 2.54 = 30.48 centimetres — exactly, with no rounding involved. That definition is why the centimetre-to-foot relationship is so clean, and it is the same constant used by our centimeter to feet converter to deliver precise results instantly.
Worked Examples: Centimetres to Feet Step by Step
Let us put the formula into practice with four everyday measurements, showing every step of the arithmetic so you can follow along and check the results yourself.
Example 1: 30 cm to feet
A standard school ruler is 30 centimetres long. How long is that in feet? Divide 30 by 30.48:
30 ÷ 30.48 = 0.9843 feet
Rounded to two decimal places, 30 cm ≈ 0.98 ft. So a 30 cm ruler is just under one foot long.
Example 2: 100 cm to feet
One hundred centimetres is exactly one metre. Converting it to feet:
100 ÷ 30.48 = 3.2808 feet
Rounded, 100 cm ≈ 3.28 ft. This is a conversion worth memorising: a metre is just over three and a quarter feet.
Example 3: 150 cm to feet
Suppose you want to know how tall a 150 cm bookshelf is in feet:
150 ÷ 30.48 = 4.9213 feet
Rounded, 150 cm ≈ 4.92 ft — just shy of five feet.
Example 4: 180 cm to feet (height)
Height is the most popular reason for this conversion. For a person who is 180 cm tall:
180 ÷ 30.48 = 5.9055 feet
To express this in the familiar feet-and-inches format, take the decimal part (0.9055) and multiply it by 12 to turn it into inches: 0.9055 × 12 = 10.87 inches. So 180 cm = 5 ft 10.9 in (about 5′11″).
Quick-Reference Conversion Chart
For everyday use, it is often faster to look up a value than to reach for a calculator. Here is a mini chart covering the measurements people convert most often:
| Centimetres (cm) | Feet (ft) |
|---|---|
| 1 cm | 0.0328 ft |
| 10 cm | 0.3281 ft |
| 30 cm | 0.9843 ft |
| 50 cm | 1.6404 ft |
| 100 cm | 3.2808 ft |
| 150 cm | 4.9213 ft |
| 180 cm | 5.9055 ft |
When to Use Centimetres vs Feet
Centimetres and feet both measure length, but they belong to different measurement systems and tend to be used in different contexts. Choosing the right one usually depends on where you are and what you are measuring.
- Use centimetres for science, engineering and medicine, where the metric system is the universal standard. Centimetres are also the norm in most of the world for everyday measurements such as body height, clothing sizes, furniture dimensions and room measurements. Their decimal structure makes mental arithmetic effortless.
- Use feet when working in the United States, where imperial units still dominate daily life. Feet are the standard choice in American construction, real estate listings, aviation altitudes and sporting measurements such as football field markings. In the UK, feet and inches remain the customary way to talk about a person’s height.
A good rule of thumb: if the document, tool or person you are communicating with uses imperial units, convert your metric measurements into feet so everyone is on the same page — and if you need inch-level precision for things like tailoring or joinery, remember that our cm to inches conversion calculator can handle that step too.
Frequently Asked Questions
How many feet are in 100 cm?
There are 3.2808 feet in 100 cm. Simply divide 100 by 30.48. In practical terms, 100 cm — exactly one metre — is about 3 ft 3.4 in.
Why do I divide by 30.48?
Because the foot is defined in metric terms as exactly 30.48 centimetres. This follows from the 1959 International Yard and Pound Agreement, which fixed the inch at exactly 2.54 centimetres; with 12 inches in a foot, 12 × 2.54 gives 30.48. Dividing centimetres by 30.48 therefore gives you the exact equivalent in feet.
How do I convert centimetres to feet and inches?
First divide the centimetres by 30.48 to get decimal feet, as shown in the examples above. Then multiply the decimal part of the result by 12 — that gives you the remaining inches. For instance, 175 cm ÷ 30.48 = 5.7415 ft, and 0.7415 × 12 = 8.90 in, so 175 cm is 5 ft 8.9 in.
Is 180 cm equal to 6 feet?
Not quite. As calculated above, 180 cm equals 5.9055 feet, or 5 ft 10.9 in — just under 6 feet. Six feet is actually 182.88 cm, so someone who is 180 cm tall is about 3 cm short of the six-foot mark.
What is the quickest way to convert cm to feet?
For a single quick conversion, divide by 30 in your head for a rough estimate (this slightly overstates the result) or divide by 30.48 on a calculator for the exact answer. For repeated or precise conversions, use our free centimeter to feet converter — it applies the exact formula instantly and eliminates any arithmetic slips.
With the formula feet = cm ÷ 30.48, a few worked examples under your belt and the chart above for reference, you should never be caught out by a centimetre-to-foot conversion again.