Convert 56.2 m3 into yd.
The correct answer and explanation is :
Conversion of 56.2 Cubic Meters to Cubic Yards
To convert cubic meters ((m^3)) to cubic yards ((yd^3)), we use the conversion factor:
[
1 \text{ m}^3 = 1.30795 \text{ yd}^3
]
Now, applying this conversion factor:
[
56.2 \text{ m}^3 \times 1.30795 \text{ yd}^3/\text{ m}^3 = 73.52 \text{ yd}^3
]
Explanation
- Understanding the Conversion Factor
The relationship between meters and yards originates from their linear measurements:
- (1 \text{ meter} = 1.09361 \text{ yards}).
- Since volume is measured in cubic units, we cube this value: [
(1.09361)^3 = 1.30795
] This means that each cubic meter contains approximately 1.30795 cubic yards.
- Application to the Given Volume
We multiply 56.2 cubic meters by the conversion factor: [
56.2 \times 1.30795 = 73.52
] Thus, 56.2 cubic meters is equal to approximately 73.52 cubic yards. - Practical Significance
- Cubic meters are commonly used in metric system countries for measuring volume, especially in construction, shipping, and scientific calculations.
- Cubic yards are used in the imperial system, mainly in the U.S. and the U.K., for measuring concrete, soil, and aggregate materials.
- Importance of Accuracy
This precise conversion is essential in industries like civil engineering, where accurate volume calculations affect material estimates and costs.
Final Answer:
[
56.2 \text{ m}^3 = 73.52 \text{ yd}^3
]