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A river basin has an area of 500 km². If the average rainfall is 800 mm per year

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Question: A river basin has an area of 500 km². If the average rainfall is 800 mm per year, how much water falls on the basin in cubic meters? (2022)

Options:

  1. 400,000,000 m³
  2. 500,000,000 m³
  3. 600,000,000 m³
  4. 700,000,000 m³

Correct Answer: 500,000,000 m³

Exam Year: 2022

Solution: 

Water volume = Area × Rainfall = 500 km² × 800 mm = 500,000,000 m³.

A river basin has an area of 500 km². If the average rainfall is 800 mm per year

Practice Questions

Q1
A river basin has an area of 500 km². If the average rainfall is 800 mm per year, how much water falls on the basin in cubic meters? (2022)
  1. 400,000,000 m³
  2. 500,000,000 m³
  3. 600,000,000 m³
  4. 700,000,000 m³

Questions & Step-by-Step Solutions

A river basin has an area of 500 km². If the average rainfall is 800 mm per year, how much water falls on the basin in cubic meters? (2022)
  • Step 1: Understand the area of the river basin, which is given as 500 km².
  • Step 2: Convert the area from square kilometers to square meters. 1 km² = 1,000,000 m², so 500 km² = 500 × 1,000,000 m² = 500,000,000 m².
  • Step 3: Understand the average rainfall, which is given as 800 mm per year.
  • Step 4: Convert the rainfall from millimeters to meters. 800 mm = 800 / 1000 m = 0.8 m.
  • Step 5: Calculate the volume of water that falls on the basin using the formula: Volume = Area × Rainfall.
  • Step 6: Substitute the values: Volume = 500,000,000 m² × 0.8 m.
  • Step 7: Perform the multiplication: 500,000,000 × 0.8 = 400,000,000 m³.
  • Step 8: Therefore, the total volume of water that falls on the basin is 400,000,000 m³.
  • Area and Volume Calculation – Understanding how to calculate the volume of water based on area and rainfall measurements.
  • Unit Conversion – Converting rainfall from millimeters to meters to ensure consistent units when calculating volume.
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