To convert 46 feet and 6 inches into meters and centimeters, follow these steps:
1. Convert feet and inches to total inches:
- First, convert the feet to inches:
[tex]\[
46 \text{ feet} \times 12 \text{ inches per foot} = 552 \text{ inches}
\][/tex]
- Then, add the additional 6 inches:
[tex]\[
552 \text{ inches} + 6 \text{ inches} = 558 \text{ inches}
\][/tex]
So, the total length in inches is 558 inches.
2. Convert inches to meters:
- Use the conversion factor [tex]\(1 \text{ inch} = 0.0254 \text{ meters}\)[/tex]:
[tex]\[
558 \text{ inches} \times 0.0254 \text{ meters per inch} = 14.1732 \text{ meters}
\][/tex]
3. Convert meters to centimeters:
- Since [tex]\(1 \text{ meter} = 100 \text{ centimeters}\)[/tex], we can convert the total meters to centimeters:
[tex]\[
14.1732 \text{ meters} \times 100 \text{ centimeters per meter} = 1417.32 \text{ centimeters}
\][/tex]
4. Separate the meters and remaining centimeters:
- The integral part of the meter measurement is:
[tex]\[
\text{Meters} = 14
\][/tex]
- The remaining part in centimeters is the fractional part of the meters converted to centimeters:
[tex]\[
\text{Remaining centimeters} = 14.1732 \text{ meters} - 14 \text{ meters} = 0.1732 \text{ meters}
\][/tex]
Convert the remaining meters to centimeters:
[tex]\[
0.1732 \text{ meters} \times 100 \text{ centimeters per meter} = 17.32 \text{ centimeters}
\][/tex]
- When rounded to the nearest tenth, 17.32 becomes 17.3 centimeters.
Therefore, the conversion of 46 feet and 6 inches results in:
- Meters: 14
- Centimeters: 17.3
So, the answer is:
B [tex]\(14 \text{ meters and } 17.3 \text{ centimeters}\)[/tex]
