A river has a width of 20 m and depth of 2 m before rain. After a heavy rainfall, its width increases to 30 m and depth to 3 m. Calculate the additional volume of water the river holds due to the rain. (Assume the length of river segment considered is 100 m).
Answer
5000 m³
The correct answer is 5000 m³ — Answer: 5000 m³.
Step-by-step solution
- Compute initial volume: width × depth × length = 20 m × 2 m × 100 m = 4000 m³.
- Compute new volume: 30 m × 3 m × 100 m = 9000 m³.
- Find the difference: 9000 m³ − 4000 m³ = 5000 m³.
- State the additional volume as 5000 m³.
- Answer: 5000 m³.
Common mistake: Forgetting to use the same length for both volumes
Concept tested: Volume calculation
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