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If the depth of a river increases by 2 m and the width remains constant, how doe

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Question: If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water if the length of the river is 1000 m? (2019)

Options:

  1. 2000 m³
  2. 1000 m³
  3. 4000 m³
  4. 3000 m³

Correct Answer: 2000 m³

Exam Year: 2019

Solution: 

Volume = Length × Width × Depth. If width is constant, Volume increase = 1000 m × Width × 2 m = 2000 m³.

If the depth of a river increases by 2 m and the width remains constant, how doe

Practice Questions

Q1
If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water if the length of the river is 1000 m? (2019)
  1. 2000 m³
  2. 1000 m³
  3. 4000 m³
  4. 3000 m³

Questions & Step-by-Step Solutions

If the depth of a river increases by 2 m and the width remains constant, how does this affect the volume of water if the length of the river is 1000 m? (2019)
  • Step 1: Understand the formula for volume, which is Volume = Length × Width × Depth.
  • Step 2: Identify the given values: Length of the river = 1000 m, Depth increase = 2 m, Width remains constant.
  • Step 3: Since the width is constant, we can focus on how the depth change affects the volume.
  • Step 4: Calculate the increase in volume due to the depth increase: Volume increase = Length × Width × Increase in Depth.
  • Step 5: Substitute the known values into the formula: Volume increase = 1000 m × Width × 2 m.
  • Step 6: This simplifies to Volume increase = 2000 m³ (since Width is constant and we are calculating the increase).
  • Volume Calculation – Understanding how to calculate the volume of a three-dimensional object using the formula Volume = Length × Width × Depth.
  • Impact of Dimensions on Volume – Recognizing how changes in one dimension (depth) affect the overall volume when other dimensions (width) remain constant.
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