Indira Measured The Length Of Her School's Hallway. The First Part Of The Hallway Was 132 Inches Long. The Next Part Was 3 Yards Long. How Long Is The Hallway In Feet?
In this problem, we are given the length of two parts of a hallway and asked to find the total length in feet. The first part of the hallway is 132 inches long, and the next part is 3 yards long. To find the total length, we need to convert both parts to the same unit of measurement, which is feet.
Converting Inches to Feet
First, let's convert the first part of the hallway, which is 132 inches long, to feet. We know that there are 12 inches in 1 foot, so we can divide 132 by 12 to get the length in feet.
# Convert inches to feet
inches = 132
feet = inches / 12
print(feet)
When we run this code, we get the result that the first part of the hallway is approximately 11 feet long.
Converting Yards to Feet
Next, let's convert the second part of the hallway, which is 3 yards long, to feet. We know that there are 3 feet in 1 yard, so we can multiply 3 by 3 to get the length in feet.
# Convert yards to feet
yards = 3
feet = yards * 3
print(feet)
When we run this code, we get the result that the second part of the hallway is 9 feet long.
Finding the Total Length
Now that we have the length of both parts of the hallway in feet, we can add them together to find the total length.
# Find the total length
total_length = 11 + 9
print(total_length)
When we run this code, we get the result that the total length of the hallway is 20 feet.
Conclusion
In this problem, we were given the length of two parts of a hallway and asked to find the total length in feet. We converted both parts to feet using the conversion factors of 12 inches per foot and 3 feet per yard. We then added the lengths of both parts together to find the total length, which was 20 feet.
Real-World Applications
This problem has real-world applications in architecture, engineering, and construction. When designing a building or a hallway, it's essential to have accurate measurements to ensure that the structure is safe and functional. This problem demonstrates the importance of converting units of measurement to ensure that calculations are accurate.
Tips and Tricks
When working with units of measurement, it's essential to remember the following tips and tricks:
- Always convert units of measurement to a common unit, such as feet or inches.
- Use conversion factors to convert between units of measurement.
- Double-check your calculations to ensure that they are accurate.
- Use real-world examples to illustrate the importance of accurate measurements.
Practice Problems
Here are some practice problems to help you reinforce your understanding of converting units of measurement:
- A bookshelf is 5 feet long. If it's 12 inches wide, how long is it in inches?
- A room is 15 yards long. If it's 3 feet wide, how long is it in feet?
- A piece of string is 18 inches long. If it's 3 yards wide, how long is it in feet?
Answer Key
Here are the answers to the practice problems:
- 60 inches
- 45 feet
- 54 feet
Conclusion
In our previous article, we discussed how to convert units of measurement to find the total length of a hallway. In this article, we'll answer some frequently asked questions about converting units of measurement.
Q: What are the most common units of measurement?
A: The most common units of measurement are inches, feet, yards, and miles for length, and pounds, ounces, and grams for weight.
Q: How do I convert inches to feet?
A: To convert inches to feet, you can divide the number of inches by 12. For example, if you have 132 inches, you can divide it by 12 to get 11 feet.
Q: How do I convert yards to feet?
A: To convert yards to feet, you can multiply the number of yards by 3. For example, if you have 3 yards, you can multiply it by 3 to get 9 feet.
Q: What is the conversion factor for inches to feet?
A: The conversion factor for inches to feet is 12 inches per foot.
Q: What is the conversion factor for yards to feet?
A: The conversion factor for yards to feet is 3 feet per yard.
Q: How do I convert feet to inches?
A: To convert feet to inches, you can multiply the number of feet by 12. For example, if you have 11 feet, you can multiply it by 12 to get 132 inches.
Q: How do I convert feet to yards?
A: To convert feet to yards, you can divide the number of feet by 3. For example, if you have 9 feet, you can divide it by 3 to get 3 yards.
Q: What are some real-world applications of converting units of measurement?
A: Converting units of measurement has many real-world applications, including:
- Architecture: Architects use units of measurement to design buildings and structures.
- Engineering: Engineers use units of measurement to design and build machines and systems.
- Construction: Construction workers use units of measurement to measure and calculate materials and labor.
- Science: Scientists use units of measurement to measure and calculate physical quantities such as length, weight, and temperature.
Q: Why is it important to convert units of measurement accurately?
A: Converting units of measurement accurately is important because it ensures that calculations are correct and that structures and systems are safe and functional. Inaccurate conversions can lead to errors and even safety hazards.
Q: What are some common mistakes to avoid when converting units of measurement?
A: Some common mistakes to avoid when converting units of measurement include:
- Not using the correct conversion factor
- Not double-checking calculations
- Not using a consistent unit of measurement throughout a calculation
- Not considering the context of the problem
Conclusion
In this article, we answered some frequently asked questions about converting units of measurement. We discussed the most common units of measurement, conversion factors, and real-world applications of converting units of measurement. We also highlighted the importance of accurate conversions and common mistakes to avoid. By following these tips and guidelines, you can ensure that your calculations are accurate and that you are working with the correct units of measurement.