To convert 47 inches to centimeters, we use the conversion factor where 1 inch is equal to 2.54 centimeters. This conversion is based on the definition of the inch and the centimeter within the International System of Units (SI). The inch is a unit of length in the imperial and United States customary systems, whereas the centimeter is a unit of length in the metric system, which is part of the SI.
Conversion Process
The process of converting inches to centimeters involves multiplying the number of inches by the conversion factor (2.54 cm/inch). For 47 inches, the calculation would be as follows:
47 inches * 2.54 cm/inch = 119.18 cm
This calculation shows that 47 inches is equivalent to 119.18 centimeters. The conversion factor of 2.54 is precise, allowing for accurate conversions between these units of length.
Understanding the Conversion Factor
The conversion factor of 2.54 cm/inch is derived from the fact that 1 inch was originally defined as the length of three grains of barley placed end to end, which later became standardized. The meter, the base unit of length in the SI system from which the centimeter is derived (1 meter = 100 centimeters), was initially defined as one ten-millionth of the distance from the equator to the North Pole along a meridian through Paris. The precise relationship between inches and centimeters was established to facilitate conversions between the two systems.
| Unit of Measurement | Equivalent Value |
|---|---|
| 47 Inches | 119.18 Centimeters |
Key Points
- 1 inch is equivalent to 2.54 centimeters.
- To convert inches to centimeters, multiply the number of inches by 2.54.
- 47 inches is equal to 119.18 centimeters.
- Understanding conversion factors between different systems of measurement is crucial for international communication and precision in various fields.
- The conversion factor is based on the definitions and standardizations of the inch and the centimeter within their respective systems of measurement.
Converting between units of measurement, such as from inches to centimeters, is a fundamental skill that applies to numerous real-world situations, from construction and manufacturing to scientific research and everyday applications. The precise conversion factor ensures that measurements can be accurately translated from one system to another, facilitating global communication and collaboration.
Why is it important to know how to convert inches to centimeters?
+Knowing how to convert inches to centimeters is important because it facilitates communication and precision in international contexts, especially in fields like science, engineering, and global trade, where different countries use different measurement systems.
How is the conversion factor from inches to centimeters derived?
+The conversion factor is derived from the standard definitions of the inch and the centimeter. The inch was originally defined based on the length of grains of barley, and the meter, from which the centimeter is derived, was initially defined as a fraction of the distance from the equator to the North Pole. The precise relationship was established for conversion purposes.
What is the significance of the metric system in international trade and science?
+The metric system, which includes units like the centimeter, is significant in international trade and science because it provides a universal and standardized system of measurement. This standardization facilitates communication, reduces errors, and increases efficiency across different countries and disciplines.
