Convert 32 centimeters into inches. (1 in = 2.54 cm)
The Correct Answer and Explanation is :
To convert centimeters to inches, you can use the conversion factor that states 1 inch is equal to 2.54 centimeters. Therefore, to convert 32 centimeters to inches, you can use the formula:
[
\text{inches} = \frac{\text{centimeters}}{2.54}
]
Substituting 32 centimeters into the equation gives:
[
\text{inches} = \frac{32 \text{ cm}}{2.54 \text{ cm/in}} \approx 12.5984 \text{ inches}
]
Rounding to two decimal places, 32 centimeters is approximately 12.60 inches.
Explanation
The need to convert between centimeters and inches arises from their use in different measurement systems. Centimeters (cm) are part of the metric system, which is widely used around the world, especially in scientific contexts, while inches are commonly used in the United States and a few other countries. Understanding how to convert between these units is essential for many practical applications, such as when purchasing fabric, measuring furniture, or even in healthcare settings where precise measurements are required.
The formula for conversion is straightforward. Since 1 inch is equivalent to 2.54 centimeters, the conversion can be thought of as a division problem, where you divide the number of centimeters by the number of centimeters per inch (2.54). This operation essentially rescales the measurement from centimeters to inches, providing the equivalent length in the desired unit.
For example, if you were to measure an object that is 32 centimeters long and you needed to express that length in inches, applying this conversion is crucial to communicate effectively, especially if collaborating with individuals or industries that use inches. This method of conversion is not limited to these two units; it applies to any situation where two different measurement systems need to be bridged, reinforcing the importance of understanding how to convert units accurately.