A large multipurpose dam is being planned on the Ganga River. The reservoir is designed to be 15 km long, 3 km wide, and have an average depth of 45 m. Calculate the storage capacity of the reservoir in million cubic metres. Assume the reservoir has a rectangular shape for estimation.
Answer
2025 million m³
The correct answer is 2025 million m³ — Thus the estimated storage capacity is 2025 million m³.
Step-by-step solution
- Convert the length from kilometres to metres: (15,\text{km} = 15{,}000,\text{m}).
- Convert the width from kilometres to metres: (3,\text{km} = 3{,}000,\text{m}).
- Multiply the length, width and average depth to get the volume: (15{,}000 \times 3{,}000 \times 45 = 2{,}025{,}000{,}000,\text{m}^3).
- Convert the volume to million cubic metres: (2{,}025{,}000{,}000 div 1{,}000{,}000 = 2{,}025,\text{million},\text{m}^3).
- Thus the estimated storage capacity is 2025 million m³.
Common mistake: Forgetting to convert kilometres to metres or to express the final answer in million cubic metres
Concept tested: Reservoir capacity calculation
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