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If a river basin has an area of 2000 km² and receives an average rainfall of 800

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Question: If a river basin has an area of 2000 km² and receives an average rainfall of 800 mm per year, what is the total volume of water received by the basin in cubic meters? (2000)

Options:

  1. 1600000000
  2. 16000000
  3. 160000000
  4. 16000000000

Correct Answer: 1600000000

Exam Year: 2000

Solution: 

Volume = Area × Rainfall = 2000 km² × 800 mm = 2000 × 10^6 m² × 0.8 m = 1600000000 m³.

If a river basin has an area of 2000 km² and receives an average rainfall of 800

Practice Questions

Q1
If a river basin has an area of 2000 km² and receives an average rainfall of 800 mm per year, what is the total volume of water received by the basin in cubic meters? (2000)
  1. 1600000000
  2. 16000000
  3. 160000000
  4. 16000000000

Questions & Step-by-Step Solutions

If a river basin has an area of 2000 km² and receives an average rainfall of 800 mm per year, what is the total volume of water received by the basin in cubic meters? (2000)
  • Step 1: Understand the area of the river basin, which is given as 2000 km².
  • Step 2: Convert the area from square kilometers to square meters. Since 1 km² = 1,000,000 m², multiply 2000 km² by 1,000,000. This gives you 2000 × 1,000,000 = 2,000,000,000 m².
  • Step 3: Understand the average rainfall, which is given as 800 mm. Convert this to meters. Since 1000 mm = 1 m, divide 800 mm by 1000. This gives you 800 / 1000 = 0.8 m.
  • Step 4: Calculate the total volume of water received by the basin using the formula: Volume = Area × Rainfall. Substitute the values: Volume = 2,000,000,000 m² × 0.8 m.
  • Step 5: Perform the multiplication: 2,000,000,000 × 0.8 = 1,600,000,000 m³.
  • Step 6: The total volume of water received by the basin is 1,600,000,000 m³.
  • Area and Volume Calculation – Understanding how to convert units and calculate the volume of water based on area and rainfall.
  • Unit Conversion – Converting rainfall from millimeters to meters and area from square kilometers to square meters.
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