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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, what is the total volume of water received by the basin in a year? (2019)

Options:

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

Correct Answer: 400,000,000 m³

Exam Year: 2019

Solution: 

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, what is the total volume of water received by the basin in a year? (2019)
  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, what is the total volume of water received by the basin in a year? (2019)
  • Step 1: Understand the area of the river basin, which is given as 500 km².
  • Step 2: Understand the average rainfall, which is given as 800 mm per year.
  • Step 3: Convert the rainfall from millimeters to meters because we want to calculate volume in cubic meters. 800 mm = 0.8 m.
  • Step 4: Use the formula for volume, which is Volume = Area × Rainfall.
  • Step 5: Substitute the values into the formula: Volume = 500 km² × 0.8 m.
  • Step 6: Convert the area from km² to m². 1 km² = 1,000,000 m², so 500 km² = 500,000,000 m².
  • Step 7: Now calculate the volume: Volume = 500,000,000 m² × 0.8 m.
  • Step 8: Perform the multiplication: 500,000,000 × 0.8 = 400,000,000 m³.
  • Step 9: Therefore, the total volume of water received by the basin in a year 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 – Recognizing the need to convert rainfall from millimeters to meters for volume calculations.
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