The Dimensions Of A Rectangular Field Are 60 X 10} 3 M Long And 3.4 Km Wide The Surface In M} 2
Introduction
In physics, understanding the dimensions of a rectangular field is crucial for various applications, including engineering, architecture, and geography. In this article, we will explore the concept of calculating the surface area of a rectangular field, given its dimensions in meters and kilometers.
Understanding the Dimensions
The dimensions of a rectangular field are given as 60 x 10} 3 m long and 3.4 km wide. To calculate the surface area, we need to convert the width from kilometers to meters.
Conversion from Kilometers to Meters
1 kilometer is equal to 1000 meters. Therefore, we can convert 3.4 km to meters by multiplying it by 1000.
3.4 km = 3.4 x 1000 m = 3400 m
Calculating the Surface Area
The surface area of a rectangular field can be calculated using the formula:
Surface Area = Length x Width
In this case, the length is 60 x 10} 3 m, and the width is 3400 m.
Surface Area Calculation
To calculate the surface area, we need to first convert the length from meters to a decimal value.
60 x 10} 3 m = 60.003 m (approximately)
Now, we can calculate the surface area by multiplying the length and width.
Surface Area = Length x Width = 60.003 m x 3400 m = 204,010.2 m} 2
Conclusion
In this article, we calculated the surface area of a rectangular field with dimensions 60 x 10} 3 m long and 3.4 km wide. We first converted the width from kilometers to meters and then used the formula to calculate the surface area. The result is approximately 204,010.2 m} 2.
Real-World Applications
Understanding the dimensions of a rectangular field is crucial in various real-world applications, including:
- Engineering: Calculating the surface area of a rectangular field is essential in engineering projects, such as designing buildings, bridges, and roads.
- Architecture: Architects need to calculate the surface area of a rectangular field to determine the amount of materials required for construction.
- Geography: Geographers use the concept of surface area to study the distribution of land and water on Earth.
Common Mistakes
When calculating the surface area of a rectangular field, it's essential to avoid common mistakes, such as:
- Incorrect conversion: Failing to convert the width from kilometers to meters can lead to incorrect results.
- Rounding errors: Rounding the length and width values can result in significant errors in the surface area calculation.
Tips and Tricks
To ensure accurate results when calculating the surface area of a rectangular field, follow these tips and tricks:
- Use precise values: Use precise values for the length and width to avoid rounding errors.
- Check units: Ensure that the units are consistent throughout the calculation.
- Use a calculator: Use a calculator to perform the calculations and avoid human error.
Conclusion
Introduction
In our previous article, we explored the concept of calculating the surface area of a rectangular field, given its dimensions in meters and kilometers. In this article, we will answer some frequently asked questions related to the dimensions of a rectangular field.
Q&A
Q: What is the formula for calculating the surface area of a rectangular field?
A: The formula for calculating the surface area of a rectangular field is:
Surface Area = Length x Width
Q: How do I convert kilometers to meters?
A: To convert kilometers to meters, multiply the value in kilometers by 1000.
1 kilometer = 1000 meters
Q: What is the difference between a rectangular field and a square field?
A: A rectangular field has different lengths and widths, whereas a square field has equal lengths and widths.
Q: How do I calculate the surface area of a square field?
A: To calculate the surface area of a square field, use the formula:
Surface Area = Side x Side
Q: What is the significance of understanding the dimensions of a rectangular field?
A: Understanding the dimensions of a rectangular field is crucial in various real-world applications, including engineering, architecture, and geography.
Q: How do I ensure accurate results when calculating the surface area of a rectangular field?
A: To ensure accurate results, use precise values for the length and width, check units, and use a calculator to perform the calculations.
Q: What are some common mistakes to avoid when calculating the surface area of a rectangular field?
A: Some common mistakes to avoid include:
- Incorrect conversion of units
- Rounding errors
- Failure to check units
Q: How do I calculate the surface area of a rectangular field with dimensions in feet and inches?
A: To calculate the surface area of a rectangular field with dimensions in feet and inches, first convert the dimensions to a consistent unit, such as feet or inches. Then, use the formula:
Surface Area = Length x Width
Q: What is the surface area of a rectangular field with dimensions 50 feet long and 20 feet wide?
A: To calculate the surface area, first convert the dimensions to a consistent unit, such as feet.
Surface Area = Length x Width = 50 feet x 20 feet = 1000 square feet
Q: How do I calculate the surface area of a rectangular field with dimensions in meters and centimeters?
A: To calculate the surface area of a rectangular field with dimensions in meters and centimeters, first convert the dimensions to a consistent unit, such as meters.
1 meter = 100 centimeters
Then, use the formula:
Surface Area = Length x Width
Q: What is the surface area of a rectangular field with dimensions 5 meters long and 2 meters wide?
A: To calculate the surface area, use the formula:
Surface Area = Length x Width = 5 meters x 2 meters = 10 square meters
Conclusion
In conclusion, understanding the dimensions of a rectangular field is crucial in various real-world applications. By answering these frequently asked questions, we hope to provide a better understanding of the concept and its significance. Remember to use precise values, check units, and use a calculator to ensure accurate results.