How to convert cm to feet? (Definition, Examples) Byjus

How to convert cm to feet?

Length is expressed using a number followed by a measuring unit. The number indicates the magnitude, and the unit describes the scale of measurement. There are a number of measuring units for length. In this article we will focus on the units, centimeters and feet and how to convert centimeters to feet....Read MoreRead Less

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What is length?

The measure of distance between two points or from one point to another is known as length. Length indicates how long or wide or tall an object is. For example, the length of a pencil, the length of a cuboidal box, the length of a rope and so on.

 

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The length of an object is indicated by a finite numerical value followed by measuring units like centimeters, feet and inches. The numerical value quantifies the length and the unit is the scale of measurement. For example, 10 centimeters, 12 inches, 3 meters and 7 miles.

 

 

How do we Convert Centimeters to Feet?

One centimeter is approximately equal to 0.0328084 feet, or in other words, you can say that 1 foot is equal to 30.48 centimeters. Using this relation, we can easily convert centimeters to feet:

 

Measurement in Feet = 0.0328084 × Measurement in Centimeters (or) Measurement in Feet \(= \frac{Masurements in Centimeters}{30.48}\)  \(\left [ Substitute 0.0328084 = \frac{1}{30.48} \right ]\) 

 

From this equation we can conclude that a centimeter (cm) is smaller than a foot (ft).

 

Hence, the conversion factor for converting centimeters to feet is 0.0328084 or 30.48.

 

 

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Solved Examples

Example 1: Find the number of feet in 10 centimeters. 

 

Solution :

Measurement in ft = 0.0328084 × Measurement in cms      [Conversion Formula]

Measurement in feet = 0.0328084 х 10                                [Substitute for cm value]

Measurement in feet = 0.328084                                         [Multiply]

 

So, 10 centimeters can also be expressed as 0.328084 feet.

 

 

Example 2: Find the number of centimeters in 10 feet.

 

Solution: 

Measurement in Feet \(=\frac{Measurements in Centimters}{30.48}\)           [Conversion Formula]

Measurement in cms = Measurement in ft × 30.48        [Cross Product]

\(=10\times 30.48\)                                                                  [Substitute for feet value]

\(=304.8\)                                                                          [Multiply]

 

So, 10 feet can also be expressed as 304.8 centimeters.

 

Example 3: An athlete needs to jump 200 centimeters to score a gold in a national level athletic event. The athlete jumps 7 feet, does he win a gold medal?

 

Solution:

Measurement in Feet \(=\frac{Measurement in Centimeters}{30.48}\)                    [Conversion Formula]

Measurement in cms = Measurement in ft × 30.48                 [Cross Product]

\(=7\times 30.48 \)                                                                             [Substitute for feet value]

= 213.36                                                                                   [Multiply]

 

So, there are 213.36 centimeters in 7 feet.

 

The player needs to jump 200 centimeters.

 

The athlete has jumped 213.36 cm which is greater than 200 cm.

 

Therefore, the athlete won the gold medal in the national level athletic event.

Frequently Asked Questions

1 centimeter is approximately 0.0328084 in feet.

When written in centimeters, 1 foot is approximately 30.48 centimeters.

Yes, a centimeter is a metric unit of length. Metric units include

millimeters, centimeters, meters and kilometers. 

A ruler or a measuring tape are the most commonly used tools to measure the length of an object, be it in inches, feet, centimeters, or even millimeters.