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A river has a length of 150 km and a width of 50 m. If the average depth is 3 m,

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Question: A river has a length of 150 km and a width of 50 m. If the average depth is 3 m, what is the approximate volume of water in the river in cubic meters?

Options:

  1. 22500000
  2. 2250000
  3. 15000000
  4. 30000000

Correct Answer: 22500000

Solution: 

Volume = Length × Width × Depth = 150000 m × 50 m × 3 m = 22500000 m³.

A river has a length of 150 km and a width of 50 m. If the average depth is 3 m,

Practice Questions

Q1
A river has a length of 150 km and a width of 50 m. If the average depth is 3 m, what is the approximate volume of water in the river in cubic meters?
  1. 22500000
  2. 2250000
  3. 15000000
  4. 30000000

Questions & Step-by-Step Solutions

A river has a length of 150 km and a width of 50 m. If the average depth is 3 m, what is the approximate volume of water in the river in cubic meters?
  • Step 1: Convert the length of the river from kilometers to meters. Since 1 km = 1000 m, multiply 150 km by 1000 to get 150000 m.
  • Step 2: Identify the width of the river, which is already given as 50 m.
  • Step 3: Identify the average depth of the river, which is given as 3 m.
  • Step 4: Use the formula for volume, which is Volume = Length × Width × Depth.
  • Step 5: Substitute the values into the formula: Volume = 150000 m × 50 m × 3 m.
  • Step 6: Calculate the volume: First, multiply 150000 m by 50 m to get 7500000 m². Then, multiply 7500000 m² by 3 m to get 22500000 m³.
  • Volume Calculation – Understanding how to calculate the volume of a rectangular prism using the formula Volume = Length × Width × Depth.
  • Unit Conversion – Recognizing the need to convert units appropriately, especially when dealing with different measurements (e.g., kilometers to meters).
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