Question

One acre-foot water is equal to how many cubic meter water?

• A. 1233.5
• B. 1525.5
• C. 3000.5
• D. 3630.5

Hint:

To remember this conversion factor:
- \(1\text{ acre-foot} \approx 1,233.5\text{ m}^3\).
- It is equivalent to roughly \(1.23\text{ million liters}\) of water.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
An acre-foot is an imperial unit of volume commonly used in water resource management.
It represents the volume of water required to cover an area of one acre to a depth of one foot.

Step 2: Key Formula or Approach:
Convert imperial units to metric:
\[ 1 \text{ acre} = 43,560 \text{ ft}^2 \] \[ 1 \text{ foot} = 0.3048 \text{ m} \] \[ 1 \text{ ft}^3 \approx 0.0283168 \text{ m}^3 \]

Step 3: Detailed Explanation:
Calculate the volume of 1 acre-foot in cubic feet first: \[ 1 \text{ acre-foot} = 1 \text{ acre} \times 1 \text{ foot depth} \] \[ 1 \text{ acre-foot} = 43,560 \text{ ft}^2 \times 1 \text{ ft} = 43,560 \text{ ft}^3 \] Now, convert cubic feet to cubic meters: \[ 1 \text{ acre-foot} = 43,560 \times (0.3048 \text{ m})^3 \] \[ 1 \text{ acre-foot} = 43,560 \times 0.028316847 \text{ m}^3 \] \[ 1 \text{ acre-foot} \approx 1233.48 \text{ m}^3 \] Rounding to one decimal place: \[ 1 \text{ acre-foot} \approx 1233.5 \text{ m}^3 \]

Step 4: Final Answer:
One acre-foot of water is equal to 1233.5 cubic meters, corresponding to option (A).