67 Cm To Inches And Feet Convert

67 cm to Inches and Feet: A Comprehensive Conversion Guide

Unit conversion is a fundamental skill in mathematics and science, crucial for accurate calculations and clear communication of measurements. Understanding how to convert between different units, such as centimeters (cm) and inches or feet, is essential in various fields, from construction and engineering to cooking and everyday life. This article will delve into the mathematical process of converting 67 centimeters into both inches and feet, providing a clear and detailed explanation of each step. We will explore the underlying principles, use practical examples, and address common misconceptions.

Understanding the Metric and Imperial Systems:

Before we begin the conversion, it's important to understand the two systems of measurement involved:

Metric System (SI): This system, based on powers of 10, uses units like meters (m) for length, grams (g) for mass, and liters (l) for volume. Centimeters (cm) are a subunit of the meter, with 100 cm equaling 1 meter.

Imperial System (US Customary): This system, primarily used in the United States, employs units like inches (in), feet (ft), yards (yd), and miles (mi) for length. These units are not based on a consistent decimal system, making conversions more complex.

Converting Centimeters to Inches:

The key to converting between centimeters and inches is the conversion factor: 1 inch ≈ 2.54 centimeters. The symbol "≈" represents "approximately equal to" because the conversion factor is a rounded value. The actual value is slightly more precise, but 2.54 cm/inch is sufficiently accurate for most purposes.

Let's convert 67 cm to inches:

Step 1: Set up the conversion equation:

We'll use a ratio to perform the conversion. Since 1 inch is equal to 2.54 cm, we can set up the ratio as follows:

```
(67 cm) (1 inch / 2.54 cm)
```

Notice how the "cm" units cancel out, leaving us with inches:

```
(67 cm) (1 inch / 2.54 cm) = (67/2.54) inches
```

Step 2: Perform the division:

Now, we perform the division:

```
67 ÷ 2.54 ≈ 26.37795 inches
```

Step 3: Round to appropriate significant figures:

The original measurement (67 cm) has two significant figures. Therefore, we should round our answer to two significant figures as well:

```
26.37795 inches ≈ 26 inches
```

Therefore, 67 cm is approximately equal to 26 inches. For more precise applications, you can retain more decimal places.

Converting Centimeters to Feet:

To convert 67 cm to feet, we need another conversion factor: 1 foot = 12 inches. We can combine this with our previous conversion to inches.

Step 1: Convert centimeters to inches (as done above):

67 cm ≈ 26.38 inches (we'll use a slightly more precise value here for better accuracy in the next step)

Step 2: Convert inches to feet:

We set up another ratio:

```
(26.38 inches) (1 foot / 12 inches)
```

Again, the "inches" units cancel out:

```
(26.38 inches) (1 foot / 12 inches) = (26.38/12) feet
```

Step 3: Perform the division:

```
26.38 ÷ 12 ≈ 2.2 feet
```

Therefore, 67 cm is approximately equal to 2.2 feet.

Combining the Conversions:

We can also combine both steps into a single equation:

```
(67 cm) (1 inch / 2.54 cm) (1 foot / 12 inches) ≈ 2.2 feet
```

Notice how both "cm" and "inches" units cancel out, leaving us with the desired unit, "feet".

Summary:

Converting 67 centimeters to inches and feet involves using conversion factors to create ratios that cancel out unwanted units. We found that 67 cm is approximately 26 inches and 2.2 feet. Remember that rounding is crucial for maintaining the appropriate number of significant figures based on the precision of the original measurement. The accuracy of the conversion depends on the precision of the conversion factors used.

Frequently Asked Questions (FAQs):

1. Why is the conversion factor for inches to centimeters approximately 2.54? The conversion is based on the definition of the inch relative to the meter. 2.54 is a rounded value for greater ease of use.

2. Can I use a calculator for these conversions? Absolutely! Calculators are highly recommended for accurate results, especially when dealing with decimal values.

3. What if I need to convert a larger number of centimeters? The process remains the same. Simply substitute the number of centimeters into the conversion equation.

4. Are there online converters for these units? Yes, many websites and apps offer unit converters for various measurements, including centimeters to inches and feet. These can be helpful for quick conversions.

5. Which unit (inches or feet) is more appropriate to use? The choice depends on the context. Inches are more suitable for smaller measurements, while feet are better for larger distances. If you're measuring the height of a person, inches might be more common. If you're measuring the length of a room, feet are more practical. Using the most appropriate unit makes communication clearer and easier to understand.

67 Cm To Inches And Feet Convert

67 cm to Inches and Feet: A Comprehensive Conversion Guide

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