120 cm to Feet and Inches: Easy Conversion Guide
Converting centimetres to feet and inches may seem daunting at first, but it is a common task for many individuals, especially when dealing with international measurement standards.
This post demystifies the conversion of 120 centimetres, a standard height for many products and individuals, into feet and inches. We will explore various methods, formulas, and tools to make this numerical translation simple and clear. Join us as we explore the structured methods for conversion, providing you with an easy-to-follow roadmap and answering your most frequent questions.
Methods for converting 120 cm to feet and inches:
Conversion between different units of measurement is a common task in various fields, including science, engineering, and daily life. To convert 120 centimetres to feet and inches, you can use different methods such as manual calculation using a conversion factor, online converters, or by applying a conversion formula. The height comparison chart and various conversion tools can be quite beneficial in visualizing and understanding the differences between these units.
Method 1: Using the conversion factor
The base unit for length in the International System of Units (SI) is the meter, which can be subdivided into centimetres. To convert centimetres to feet, you can use the conversion factor that states 1 inch is equivalent to 2.54 centimetres.
- Step 1: Divide the height in centimeters (120 cm) by 2.54 to find the equivalent height in inches. This gives you 47.24 inches.
- Step 2: Then, divide the 47.24 inches by 12 (since there are 12 inches in 1 foot) to find the number of feet. This results in 3.937 feet.
- Step 3: The whole number, in this case, 3, represents the feet portion of the conversion.
- Step 4: To find the remaining inches, take the decimal from the conversion (0.937) and multiply by 12. This yields approximately 11.24 inches.
Combining these values, 120 centimetres is equal to 3 feet and 11.24 inches.
Method 2: Using online converters
Online converters are an ideal option for those who prefer a quick and effortless approach. Here's how they work:
- Step 1: Enter the measurement in centimetres (120 cm) into the converter.
- Step 2: The converter automatically applies the formula, dividing the measurement by 30.48 (since one foot is equal to 30.48 centimetres).
- Step 3: It promptly displays the converted measurement, showing both the feet and inches.
- Step 4: For 120 cm, an online converter will typically display the result as 3 feet 11.24 inches or simply as 3.94 feet.
Online converters are advantageous for their speed and ease of use. They offer a painless way to convert measurements instantly.
Method 3: Using the formula
Alternatively, you can use a standard formula to carry out the conversion from centimetres to feet and inches:
- Step 1: Divide the number of centimetres (120 cm) by 2.54 to convert to inches.
- Step 2: Divide by 12 to find the feet once you have the inches.
- Step 3: The division's integer (whole number) will be the feet, and the fraction (decimal) represents the partial feet.
- Step 4: Multiply the decimal by 12 to get the remaining inches.
For instance, 120 cm converted to inches equals 47.24 inches, and dividing that by 12 gives you 3 feet and 11.24 inches as the final converted values.
Each of these methods provides a reliable way to convert 120 centimetres into feet and inches, whether you prefer manual calculations or the convenience of an online tool. Understanding these conversions is essential for various applications, including those related to height measurement in different fields.
Method 1: Using the conversion factor
Method 1 for converting centimetres to feet and inches involves using the conversion factor where 1 inch is equivalent to 2.54 centimetres. To begin, take the measurement in centimetres and divide it by 2.54 to convert it to inches. Once you have the measurement in inches, you can then convert to feet.
Here is a breakdown of the steps:
- Divide the number of centimetres by 2.54 to find the height in inches.
- Take the resulting number in inches and divide it by 12 to determine the number of whole feet. This represents the feet in the conversion.
- Calculate the remainder when you divide the inches by 12 to find any extra inches.
- Combine the number of feet with the remaining inches for the total measurement.
For example, converting 120 centimetres to feet and inches:
- 120 cm ÷ 2.54 = 47.24 inches
- 47.24 in ÷ 12 = 3 feet
- The remainder is 11.24 inches
- In terms of feet and inches, 120 cm is equivalent to 3 feet 11.24 inches.
This method is straightforward and provides an accurate conversion from centimeters to the common feet and inches used in various measurements, such as height comparison charts or height measurement in centimeters.
Method 2: Using online converters
Method 2: Using Online Converters
Online converters provide a convenient and precise option when looking to convert centimetres to feet and inches. These tools, such as the Cm to Feet and Inches Conversion Calculator, are readily accessible and easy to use. To accurately convert 120 centimetres to its equivalent in feet and inches, the majority of these calculators use the formula:
ft = cm ÷ 30.48
In this case, for a measurement of 120 cm, the calculation would yield a result of approximately 3 feet and 11.24 inches. The conversion process specifically involves dividing the centimeter measurement by 30.48 to establish the feet component. One can break down the figure further through this conversion from feet to inches, arriving at the full height in inches.
The online converter tool carefully calculates the following for a measurement of 120 cm:
- Feet (ft): 3.94 feet, which is typically rounded to the nearest foot for simplicity, hence 3 feet.
- Inches (in): 47.24 inches, which indicates the total number in inches.
The utilization of such digital calculators streamlines the conversion process, affording users the ability to quickly obtain accurate measurements in various units of measurement, from centimetres to meters, and especially from centimetres to feet and inches.
Method 3: Using the formula
Method 3: Using the Formula
A precise formula is imperative to achieve accuracy when converting centimetres to feet and inches. Commencing with the centimetres measurement, the initial step is to convert the height into inches. This is achieved by dividing the total number of centimetres by 2.54, as one inch is equivalent to exactly that measure. Upon obtaining the value in inches, you then proceed to divide it by 12, given that one foot consists of 12 inches.
The outcome of this division presents two components: a whole number and a decimal. The whole number explicitly represents the feet, while the decimal - the fraction of a foot - is an indication of the remaining inches. To find out the precise number of inches, you need to multiply the decimal by 12.
Here's the breakdown of the formula:
- Centimeters ÷ 2.54 = Height in inches
- Height in inches ÷ 12 = Feet (whole number) + Fractional foot (decimal)
- Fractional foot × 12 = Remaining inches
After performing the above calculations, you combine the whole feet with the remaining inches to acquire the height expressed in feet and inches.
For instance, for 120 cm:
- 120 cm È 2.54 = 47.24 inches
- 47.24 inches ÷ 12 = 3.937 feet
- Whole feet: 3
- Fractional foot: 0.937
- 0.937 × 12 = 11.24 inches
Therefore, 120 cm converts to 3 feet and 11.24 inches.
Formulas for converting cm to feet and inches:
Two main formulas are generally utilised to facilitate the conversion of centimeters to feet and inches. Both rely on the inherent relationships between these units of measurement.
Formula 1: Conversion of cm to inches
To convert centimeters to inches, the underlying formula reflects the fact that one inch is the equivalent of 2.54 centimeters. Therefore, the conversion formula to inch from cm is succinctly expressed as:
Distance in inches = Distance in cm ÷ 2.54
Implementing this formula, a measurement of 1 centimetre would equate to about 0.3937 inches, as shown below:
1 cm = 1 cm ÷ 2.54 cm/in ≈ 0.3937 in
When applying this to a specific example, such as converting 120 centimetres to inches, the calculation would result in:
120 cm ÷ 2.54 = 47.244094488189 inches
The resulting figure is the total height in inches.
Formula 2: Conversion of inches to feet
For the conversion of centimetres directly into feet, the typical formula:
Feet = Cm ÷ 30.48
When converting cm into both feet and inches, the process is a two-step calculation:
Whole feet = floor(Cm ÷ 30.48)
This computes the full integer part of the measure, signifying the number of complete feet within the centimetre measure.
Inches = (Cm ÷ 30.48 - Whole feet) × 12
The second part of the formula calculates the remainder when the cm figure is converted to feet (excluding the whole feet part), which is then converted into inches by multiplying by 12 – the number of inches in one foot.
Utilizing the example of a height conversion from centimeters to feet, such as converting 120 centimeters, the formula application would be as follows:
Whole feet = floor(120 cm ÷ 30.48) = floor(3.93700787401575) = 3 feet Inches = (120 cm ÷ 30.48 - 3) × 12 = (3.93700787401575 - 3) × 12 ≈ 11.24 inches
Consolidating both figures, you conclude that 120 cm corresponds to approximately 3 feet and 11.24 inches. The combination of these conversion formulas ensures a precise translation of metric measurements into customary units used in various contexts, including height measurement charts, construction, and more.
Formula 1: Conversion of cm to inches
Understanding the conversion from centimetres to inches is important for numerous applications, including technical specifications, clothing sizes, and height comparisons. As centimetres and inches are common units of measurement, converting between these two is a fundamental task in measurements.
The base unit for length in the International System of Units (SI) is the meter, and one centimetre is one-hundredth of a meter. In contrast, an inch is a standard unit of length in the customary system of measurement primarily used in the United States. The relationship between these two units is consistent, with one inch being exactly equivalent to 2.54 centimeters.
To convert from centimeters to inches, the following formula is used:
distance in inches = distance in centimetres / 2.54
This formula simply involves dividing the number of centimetres by the fixed value of 2.54, which is the number of centimetres in one inch.
For instance, when converting 120 centimeters to inches, we apply this formula:
120 cm / 2.54 cm/in = 47.244094488189 inches
By utilizing this straightforward calculation, one can easily translate measurements in centimetres to their equivalent in inches.
Centimeters (cm) | Inches (in) |
|---|---|
120 | 47.244094488189 |
This conversion is not only useful in technical fields but also in everyday life, such as when determining the height in inches or making a height comparison chart.
Formula 2: Conversion of inches to feet
Converting inches to feet is a straightforward process, as both inches and feet are units of measurement used to determine length and height in various systems, including the international foot used widely around the world. The base unit for this conversion is the foot, which is equivalent to 12 inches. This standard is used across different applications, from construction measurements in feet to calculating the height of an individual in inches.
Formula for Conversion of Inches to Feet:
To convert inches to feet, use the following simple formula:
Feet = Inches ÷ 12
Example:
If you have a measurement of 36 inches and want to convert it to feet, you would perform the following calculation:
Feet = 36 inches ÷ 12 = 3 feet
This means that 36 inches is equivalent to 3 feet.
Conversion Table:
Inches | Feet |
|---|---|
12 | 1 |
24 | 2 |
36 | 3 |
48 | 4 |
60 | 5 |
72 | 6 |
84 | 7 |
96 | 8 |
108 | 9 |
120 | 10 |
By following this conversion from inches to feet, anyone can easily calculate and understand measurements in feet, whether it's for linear feet in construction projects, meters to feet for athletic events, or for height comparison charts.
The calculation process
Step 1: Conversion of cm to inches
The initial phase in converting centimeters to another unit is to change them into inches, as this is commonly used as an intermediate step before converting to feet. One inch is the equivalent of precisely 2.54 centimeters. By utilizing the formula of dividing the number of centimeters by 2.54, you can obtain the corresponding distance in inches. This means for every centimeter, there is an equivalent of 0.3937007874 inches. Applying this conversion, when we convert 120 centimeters into inches, the calculation would look like this:
Inches = 120 cm ÷ 2.54 ≈ 47.244 inches
This demonstrates that, through conversion, 120 centimeters is approximately equal to 47.244 inches.
Example Conversions:
- 20 cm to inches: 20 cm ÷ 2.54 ≈ 7.874 inches
- 10 cm to inches: 10 cm ÷ 2.54 ≈ 3.937 inches
Step 2: Conversion of total inches to feet and inches
Upon establishing the measurement in inches, the next stage is to convert this total into the composite units of feet and inches. This involves dividing the total inches by the number 12, since there are 12 inches in a foot. The quotient gives the number of whole feet, while the remainder reflects the inches left over.
For the conversion of 47.244 inches, the calculation and rounding are as follows:
Total feet (as a decimal) = 47.244 inches ÷ 12 ≈ 3.937 feet
Whole feet = 3 feet (since only the whole number part indicates full feet)
Remaining inches = 0.937 (decimal part) × 12 ≈ 11.244 inches
Combining these pieces of information, we conclude that 120 centimeters is equivalent to approximately 3 feet and 11.244 inches when expressed in feet and inches. It's essential to note that due to rounding, this process often requires an approximation symbol (≈) to represent a close, but not exact, equivalent.
In a more structured form:
- Calculate total inches: 120 cm ÷ 2.54 ≈ 47.244 inches
- Divide by 12 to find feet: 47.244 inches Ä 12 ≈ 3.937 feet
- Extract whole feet: 3 feet
- Multiply remainder by 12 for inches: 0.937 × 12 ≈ 11.244 inches
- Final result: 120 cm ≈ 3 feet and 11.244 inches
Step 1: Conversion of cm to inches
When converting centimeters to inches, the key is to understand the basic relationship between the two units of measurement. One inch is precisely equivalent to 2.54 centimeters. To convert a given distance from centimeters to inches, divide the number of centimeters by 2.54, which is the base unit conversion factor.
For example:
- A conversion of 20 cm divided by 2.54 equals 7.874 inches.
- Similarly, converting 10 cm to inches by dividing it by 2.54 results in 3.937 inches.
Given this information, each centimeter corresponds to exactly 0.3937007874 inches. Tables and lists often simplify this conversion process, allowing for quick reference and calculations.
For quick reference, consider the sample conversion list below:
Centimeters (cm) | Inches (in) |
|---|---|
10 cm | 3.937 inches |
20 cm | 7.874 inches |
To summarize, for each step of conversion:
- Take the measurement in centimeters.
- Divide the number by 2.54.
- The result is the equivalent measurement in inches.
Ensure to follow this conversion from centimeters to inches for accurate and consistent measurements.
Step 2: Conversion of total inches to feet and inches
Converting centimeters to feet and inches requires a two-step process to obtain a precise measurement. Since there are 30.48 centimeters in one foot, you start by dividing the centimeters by this value to find the total feet. For example, 120 centimeters divided by 30.48 results in approximately 3.93701 feet. This figure is not yet in the common feet and inches format, as it still presents the feet as a decimal.
It's necessary to separate the inches from the whole feet to convert this value into a more understandable form. The integer part of the result represents whole feet, while the decimal remainder represents the remaining inches. You multiply the decimal by 12 (since one foot equals 12 inches) to convert it into inches. Therefore, 0.93701 feet multiplied by 12 is around 11.24412 inches.
Since most measurements are given to the nearest whole number, you would typically round this figure. For example, 11.24412 inches would be rounded to 11 inches. The final step is to combine the whole feet with the rounded inches to express the height. Thus, 120 centimeters is equivalent to approximately 3 feet, 11 inches after rounding. Keep in mind that the use of the approximately equal sign is due to rounding during conversion.
Centimeters | Equal to (Feet with Decimal) | Multiplied by 12 (Inches) | Rounded Inches |
|---|---|---|---|
120 | 3.93701 | 11.24412 | 11 |
Conversion chart
Conversion charts are essential tools that facilitate the transition between different units of measurement. They are particularly useful when it comes to converting measurements like height from centimeters, which is a base unit in the metric system, to feet and inches used in the imperial system. Such charts are exceptionally handy in scenarios where quick, reliable height comparison is needed across different units.
Here is a simple representation of how centimeters translate into feet and inches:
Centimeters (cm) | Feet (ft) | Inches (in) |
|---|---|---|
120 | 3 | 11.24 |
The chart provides a clear correlation between centimeters and their imperial equivalents. It shows that 120 centimeters is approximately 3 feet and 11.24 inches. To obtain the feet value, divide the number of centimeters by 30.48, as 1 foot equals 30.48 centimeters. For the inches, either convert the feet decimal to inches by multiplying by 12, as there are 12 inches in a foot, or directly convert the centimeters to inches by multiplying by 0.393701.
Conversion charts are not only common feet benchmarks but also allow for comprehensive height comparisons. They are utilized frequently as height converters when there's a need to visualize or document height in a different measurement system. Whether it's for personal use, educational purposes, or professional requirements such as medical assessments, conversion charts simplify the conversion process, making measurement in centimeters easily understood in feet and inches.
Using a calculator or mobile app
Converting 120 centimeters to feet and inches can be a straightforward task with the use of a calculator or a mobile app specifically designed for this purpose. The process begins by dividing the number of centimeters by 30.48 to get the equivalent measurement in feet since one foot equals exactly 30.48 centimeters. The remaining decimal is then multiplied by 12 to convert it into inches, as each foot contains 12 inches.
Many mobile apps are now built as Progressive Web Apps (PWA) to facilitate this conversion, making it accessible from any device with an internet connection. These calculators enhance the user experience by providing a step-by-step calculation that guides the user through the conversion process efficiently. Additionally, a height comparison chart, usually included in these apps, allows users to quickly refer to conversions between 1 and 200 centimeters. This tool is particularly useful for a variety of fields that require precision in measurement, from individuals comparing their height in feet and inches to professionals working with units of measurement in their everyday tasks.
In summary, using a conversion calculator or app can greatly simplify the process of converting 120 centimeters into feet and inches, or any other centimeter measurement, allowing for quick and accurate results.
Frequently asked questions
The measurement of feet, historically linked to body parts such as the cubit, hand, and span, has evolved over time. Initially ranging from 250 mm to 335 mm, the measurement of a foot has now been standardized globally as 304.8 mm. This standard, known as the international foot, is most commonly used in the United States, Canada, and the United Kingdom. These regions frequently employ the foot for everyday measurements, including height, distances, field lengths, and surface elevation. The international foot is also related to human feet and is impacted by varying shoe sizes across different regions.
How do you express 120 cm in feet and inches?
To express these 120 centimeters in common feet and inches, the calculation produces about 3.94 feet. This is expressed as 3 feet and 11.24 inches when combining the feet and leftover inches from the conversion. The procedure involves dividing the centimeters by 30.48. With one centimeter being approximately 0.0328 feet, the 120-centimeter measurement translates to 3 feet 11.24 inches.
Are there any mobile apps available for this conversion?
Yes, there are numerous mobile apps and online platforms that accommodate conversions from centimeters to feet and inches. ConvertUnits.com, for example, provides an easy-to-use online conversion calculator. The site includes metric conversion tables for both SI units, which encompass centimeters to meters, and English units, facilitating a wide array of conversions. Its user-friendly tool allows individuals to convert using unit symbols, abbreviations, or the full names of units. ConvertUnits.com is a versatile platform not limited to length conversions, but also extends to currency, mass, pressure, and various other data types. For a comprehensive experience in measurement transformation, including length, area, mass, pressure, and more, users may utilize ConvertUnits.com's offerings.
What is the actual length of 120 cm in feet and inches?
When it comes to translating units of measurement, converting centimeters to feet and inches is a common procedure, especially in contexts where the metric system meets the imperial system. To understand the length of 120 centimeters in feet and inches, it is essential to use the correct conversion factors. One foot is equivalent to exactly 30.48 centimeters, which serves as the base unit for these calculations.
The conversion of 120 centimeters into feet can be calculated by dividing the number of centimeters by 30.48. When you perform this calculation, 120 centimeters equals approximately 3.94 feet. To break this down further into feet and inches, you must account for the whole feet first and then convert any decimal remainder into inches.
To this end, it's established that 120 centimeters make up 3 whole feet (as 3 x 30.48 cm equals 91.44 cm) with some length to spare. The remaining centimeters (120 cm - 91.44 cm) total 28.56 cm. To convert this remainder to inches, one would use the fact that one inch equals 2.54 centimeters. Thus, 28.56 centimeters is about 11.24 inches.
Here is a summarized height comparison chart for 120 cm:
Centimeters | Feet | Inches |
|---|---|---|
120 cm | 3 ft | 11.24 in |
Conclusively, the precise conversion of 120 cm is 3.937 feet or equivalently 3 feet and 11.24 inches.
How do you express 120 cm in feet and inches?
When converting units of measurement from centimeters to feet and inches, it is essential to understand the conversion factors involved. To express 120 centimeters in terms of feet, one would divide the number of centimeters by 30.48 (since one foot equals 30.48 centimeters). Doing this calculation, 120 cm is approximately equal to 3.94 feet.
To break this down further into feet and inches, it's helpful to take the whole number part of the feet measurement as the feet and then convert any decimal remainder into inches. Since an inch is defined as 1/12 of a foot, you would multiply the decimal by 12. For 120 cm, the exact conversion would be 3 feet and 11.24 inches.
Here's a quick reference table for the conversion:
Centimeters (cm) | Feet (ft) | Inches (in) | Conversion Formula |
|---|---|---|---|
120 | 3.94 | 47.24 | cm ÷ 30.48 = ft |
120 | 3 | 11.24 | (cm ÷ 30.48) and (ft * 12) |
In a height comparison chart or height converter, 120 cm would commonly be rounded and written as 3 feet, 11 inches for easier understanding and use.
To summarize, the conversion from 120 centimeters into feet and inches results in approximately 3 feet and 11.24 inches, with the base unit centimeter being a key standard in measurements in centimeters globally.
Are there any mobile apps available for this conversion?
When it comes to converting measurements, like centimeters to feet and inches, there are numerous resources available, one of which is ConvertUnits.com. This platform offers an online calculator that can handle a broad spectrum of measurement units. These include, but are not limited to, essential length conversions that bridge the metric and English units.
However, users might often require conversions while on the move or away from their desktop computers. For these situations, mobile applications can be quite handy. Although ConvertUnits.com is an effective tool for desktop users, it is not specified whether they offer a dedicated mobile app.
Nonetheless, there are a plethora of mobile apps designed for this purpose available on platforms like the App Store for iOS and Google Play for Android. These apps generally enable users to input measurements in centimeters and effortlessly convert them to feet and inches. Functionality might vary, with some apps providing straightforward conversions and others offering more extensive features such as saved histories, multiple unit conversions, and even offline access.
By downloading one of these convenient mobile apps, users can quickly find out that 120 centimeters equals approximately 3 feet and 11.24 inches, facilitating their conversion needs wherever they go.
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