Understanding unit conversions is a fundamental skill in various fields of study, including mathematics, physics, and engineering. One common conversion is from centimeters (cm) to feet (ft). This article will explain how to convert 175 cm to feet, providing a step-by-step approach that ensures accuracy.
The Basics of Unit Conversion
Before diving into the specific conversion, it is essential to understand the relationship between centimeters and feet. The metric system, which uses centimeters, is widely used around the world, while the imperial system, which includes feet, is commonly used in the United States and a few other countries.
1 foot is equivalent to 30.48 centimeters. This conversion factor is crucial for converting between these units.
Step-by-Step Conversion Process
To convert 175 cm to feet, we use the following steps:
Identify the Conversion Factor:
Set Up the Conversion Formula: The formula to convert centimeters to feet is:
Apply the Formula: Substitute 175 cm into the formula:
Perform the Calculation:
Detailed Calculation Breakdown
To ensure clarity, let’s break down the calculation:
- Divide 175 by 30.48:
175 ÷ 30.48 = 5.74147
- The result is approximately 5.74 feet when rounded to two decimal places. This means that 175 cm is equivalent to about 5 feet and 8.9 inches (since 0.74 feet is roughly 8.9 inches).
Converting Feet to Inches
To further understand the conversion, we can also express the remaining decimal part (0.74 feet) in inches. Since 1 foot equals 12 inches:
- Multiply 0.74 by 12:
0.74×12=8.88 inches
Therefore, 175 cm is approximately 5 feet and 8.88 inches.
Practical Applications
Knowing how to convert between these units is useful in many scenarios:
- Academic Contexts: Students often need to convert units in science and math problems.
- Everyday Situations: Height measurements are frequently given in both cm and feet/inches, especially in international contexts.
- Professional Fields: Fields like engineering, architecture, and healthcare often require precise unit conversions.
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Conclusion
Converting 175 cm to feet involves a straightforward process using the conversion factor where 1 foot equals 30.48 cm. By dividing 175 cm by 30.48, we find that 175 cm is approximately 5.74 feet, or 5 feet and 8.88 inches. Understanding this conversion process is valuable for students and professionals alike, enhancing their ability to work accurately across different measurement systems.