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A river's depth increases by 2 meters due to rainfall. If the river's width is 5

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Question: A river\'s depth increases by 2 meters due to rainfall. If the river\'s width is 50 meters, what is the increase in volume per kilometer of the river? (2020)

Options:

  1. 100,000 m³
  2. 200,000 m³
  3. 300,000 m³
  4. 400,000 m³

Correct Answer: 200,000 m³

Exam Year: 2020

Solution: 

Increase in volume = Width × Depth × Length = 50 m × 2 m × 1000 m = 100,000 m³.

A river's depth increases by 2 meters due to rainfall. If the river's width is 5

Practice Questions

Q1
A river's depth increases by 2 meters due to rainfall. If the river's width is 50 meters, what is the increase in volume per kilometer of the river? (2020)
  1. 100,000 m³
  2. 200,000 m³
  3. 300,000 m³
  4. 400,000 m³

Questions & Step-by-Step Solutions

A river's depth increases by 2 meters due to rainfall. If the river's width is 50 meters, what is the increase in volume per kilometer of the river? (2020)
  • Step 1: Identify the increase in depth of the river due to rainfall, which is 2 meters.
  • Step 2: Identify the width of the river, which is 50 meters.
  • Step 3: Convert the length of the river from kilometers to meters. Since 1 kilometer equals 1000 meters, the length is 1000 meters.
  • Step 4: Use the formula for volume, which is Volume = Width × Depth × Length.
  • Step 5: Substitute the values into the formula: Volume = 50 m × 2 m × 1000 m.
  • Step 6: Calculate the volume: 50 × 2 = 100, then 100 × 1000 = 100,000.
  • Step 7: The increase in volume per kilometer of the river is 100,000 cubic meters.
  • Volume Calculation – Understanding how to calculate the volume of a prism using the formula Volume = Width × Depth × Length.
  • Unit Conversion – Recognizing that the length of the river is given in kilometers and converting it to meters for consistency in calculations.
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