Question

A sugarcane crop of 2 ha area was irrigated 5 times with 6 cm water in each irrigation. Work out the total quantity of water applied in cubic meter.

• A. 15000
• B. 12000
• C. 6000
• D. 3000

Hint:

Add up the depths first, then convert both depth and area to meter before multiplying.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
A field of 2 ha received 5 irrigations, each of 6 cm depth. We need the total volume of water applied, in cubic meter.

Step 2: Key Formula or Approach:
Volume of water applied equals the total depth of water applied multiplied by the area, once both are in the same unit system.
\[ \text{Volume} = \text{Depth} \times \text{Area} \]
We know 1 ha equals 10000 square meter, and 1 m equals 100 cm.

Step 3: Detailed Explanation:
First find the total depth applied over the season:
\[ \text{Total depth} = 5 \times 6 \text{ cm} = 30 \text{ cm} \]
Convert this depth to meter:
\[ 30 \text{ cm} = 0.30 \text{ m} \]
Convert the area to square meter:
\[ 2 \text{ ha} = 2 \times 10000 = 20000 \text{ m}^2 \]
Now multiply depth by area:
\[ \text{Volume} = 0.30 \times 20000 = 6000 \text{ m}^3 \]

Step 4: Final Answer:
The total quantity of water applied is 6000 cubic meter.
\[ \boxed{6000 \text{ m}^3} \]