Units of Length How many inches are in 4 meters? meters \rightarrow feet \rightarrow inches Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers
a = b = c = d = mafth
The Correct Answer and Explanation is:
To find how many inches are in 4 meters, we can convert meters to feet and then feet to inches using the given conversion factors.
Step-by-step Conversion:
We are given:
- 1 foot = 0.3048 meters
- 1 foot = 12 inches
Step 1: Convert meters to feet
To convert meters to feet:feet=meters0.3048\text{feet} = \frac{\text{meters}}{0.3048}feet=0.3048metersfeet=40.3048≈13.1234 feet\text{feet} = \frac{4}{0.3048} \approx 13.1234 \text{ feet}feet=0.30484≈13.1234 feet
Step 2: Convert feet to inches
inches=feet×12\text{inches} = \text{feet} \times 12inches=feet×12inches=13.1234×12≈157.4808 inches\text{inches} = 13.1234 \times 12 \approx 157.4808 \text{ inches}inches=13.1234×12≈157.4808 inches
✅ Final Answer:
157.48 inches (rounded to two decimal places)\boxed{157.48 \text{ inches (rounded to two decimal places)}}157.48 inches (rounded to two decimal places)
📘 Explanation
When working with measurements, it is often necessary to convert between units from different systems. In this problem, we are asked to convert 4 meters into inches, which requires switching from the metric system to the customary system used primarily in the United States.
The metric system measures length in meters, centimeters, and millimeters, while the customary system uses inches, feet, and miles. To bridge the gap between these systems, we use conversion factors. For instance, we know from the given data that 1 foot equals 0.3048 meters, and 1 foot equals 12 inches.
To perform the conversion:
- First, we convert 4 meters to feet. Since 1 foot is 0.3048 meters, we divide 4 meters by 0.3048. This gives us approximately 13.1234 feet.
- Next, we convert the feet into inches. Since each foot contains 12 inches, we multiply 13.1234 by 12, resulting in approximately 157.48 inches.
This method is useful in many real-life situations, such as construction, travel, and science, where measurements may be reported in different unit systems. Knowing how to convert between metric and customary units helps ensure accurate communication and consistency across fields and countries. Always remember to use the correct conversion factors and double-check your calculations for precision.
Thus, 4 meters is equal to approximately 157.48 inches.
