Answer :
Sure, let's break down how to solve the problem step-by-step:
1. Understand the Units:
- You are given the length of a brick, which is 6.06 inches.
- You need to determine how many bricks are needed to line a path that is 1 mile long.
2. Convert Miles to Inches:
- First, we need to know how many inches are in a mile.
- There are 5280 feet in one mile.
- There are 12 inches in one foot.
- Therefore, there are [tex]\( 5280 \text{ feet} \times 12 \text{ inches/foot} = 63360 \text{ inches in a mile} \)[/tex].
3. Calculate the Total Number of Bricks:
- To find out how many bricks are necessary to cover the 1-mile distance, you divide the total number of inches in a mile by the length of one brick.
- [tex]\( \text{Total number of bricks} = \frac{63360 \text{ inches}}{6.06 \text{ inches/brick}} \)[/tex].
4. Result:
- Performing the division, you get [tex]\( \approx 10455.445544554455 \)[/tex] bricks.
So, to line a 1-mile-long path using bricks that are each 6.06 inches long, you would need 10455.445544554455 bricks.
Since we are usually talking about whole bricks in practical applications, you may need to round the number as appropriate, though that wasn't specified in the problem.
1. Understand the Units:
- You are given the length of a brick, which is 6.06 inches.
- You need to determine how many bricks are needed to line a path that is 1 mile long.
2. Convert Miles to Inches:
- First, we need to know how many inches are in a mile.
- There are 5280 feet in one mile.
- There are 12 inches in one foot.
- Therefore, there are [tex]\( 5280 \text{ feet} \times 12 \text{ inches/foot} = 63360 \text{ inches in a mile} \)[/tex].
3. Calculate the Total Number of Bricks:
- To find out how many bricks are necessary to cover the 1-mile distance, you divide the total number of inches in a mile by the length of one brick.
- [tex]\( \text{Total number of bricks} = \frac{63360 \text{ inches}}{6.06 \text{ inches/brick}} \)[/tex].
4. Result:
- Performing the division, you get [tex]\( \approx 10455.445544554455 \)[/tex] bricks.
So, to line a 1-mile-long path using bricks that are each 6.06 inches long, you would need 10455.445544554455 bricks.
Since we are usually talking about whole bricks in practical applications, you may need to round the number as appropriate, though that wasn't specified in the problem.
Answer:
10,455 blocks
Step-by-step explanation:
Given:
- The length of a brick is 6.06 in
Where:
1 mile = 63,360 in.
Then, to find the number of bricks needed we would divide 63,360 in which is the numberthe of inches in 1 mile by the length of the brick (6.06 in)
[tex]1 \, mile = \frac{63360 \cancel{in}}{6.06 \cancel{in}}\\\\1 \, mile \approx 10455.4 \, \text{blocks needed}[/tex]
Therefore, 10,455 (to nearest whole number) blocks is need to line a 1-mile long path.
