How many centimeters are contained in 12.5 inches? inc 2.5H C A) 4.92 cm B) 5.10 cm C) 31.8 cm D) 492 cm E) none of the above
The Correct Answer and Explanation is :
To convert inches to centimeters, you can use the conversion factor: 1 inch is equal to 2.54 centimeters. Therefore, to find out how many centimeters are in 12.5 inches, you would multiply the number of inches by the conversion factor.
Conversion Calculation:
[
12.5 \, \text{inches} \times 2.54 \, \text{cm/inch} = 31.75 \, \text{cm}
]
This means that 12.5 inches is equal to approximately 31.75 centimeters.
Answer Choices Analysis:
Looking at the answer choices:
- A) 4.92 cm
- B) 5.10 cm
- C) 31.8 cm
- D) 492 cm
- E) none of the above
The closest option to 31.75 cm is C) 31.8 cm.
Explanation:
The metric system, which includes centimeters, is used worldwide and is based on powers of ten, making conversions straightforward. The inch, however, is part of the Imperial system primarily used in the United States and a few other countries. When converting measurements from inches to centimeters, it’s crucial to know the exact conversion factor. The accuracy of conversions is essential in various fields, including science, engineering, and healthcare, where precise measurements are necessary.
When performing conversions, using the formula:
[
\text{Length in cm} = \text{Length in inches} \times 2.54
]
ensures that the conversion is accurate. This is especially important in contexts such as medical dosages, where small differences in measurement can have significant implications.
In summary, 12.5 inches converts to approximately 31.75 centimeters, which aligns closely with the provided answer option C) 31.8 cm.