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)

Practice Questions

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)

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