How many centimeters are in 3.2 inches? [1 inch = 2.5 cm]
The Correct Answer and Explanation is :
To convert inches to centimeters, we use the given conversion rate: 1 inch = 2.5 cm.
So, for 3.2 inches:
[
3.2 \, \text{inches} \times 2.5 \, \text{cm per inch} = 8 \, \text{cm}
]
Thus, 3.2 inches is equal to 8 cm.
Explanation
The process of converting measurements from one unit to another involves multiplying by a conversion factor, which is a known relationship between the two units. In this case, we know that 1 inch is equal to 2.5 centimeters. When performing a conversion like this, it’s important to ensure the units cancel out correctly, leaving only the desired unit.
Here’s a breakdown of the conversion:
- Identify the Conversion Factor: We’re given that 1 inch is equal to 2.5 cm. This means for every inch, we have 2.5 centimeters. This relationship is essential as it serves as the “bridge” between inches and centimeters.
- Set Up the Calculation: We want to find out how many centimeters are in 3.2 inches. To do this, we multiply the number of inches (3.2) by the number of centimeters per inch (2.5). Setting up the problem this way allows the inches unit to cancel out, leaving centimeters as the final unit.
- Perform the Multiplication: The multiplication step is straightforward: ( 3.2 \times 2.5 = 8 ). This gives us the answer in centimeters.
- Confirm the Result’s Reasonableness: Conversions help in making quick sense of measurements. Knowing that an inch is about 2.5 cm, 3.2 inches translating to 8 cm is a reasonable result.
Conversions like this one are practical in various fields, especially in healthcare, engineering, and science, where precise measurements are essential.