India's total renewable water resources are estimated at 1,870 km³ per year and its population is 1.3 billion. Calculate the per‑capita renewable water availability in cubic metres per person per year. (1 km³ = 10⁹ m³)
Answer
≈ 1,440 m³ person⁻¹ year⁻¹
The correct answer is ≈ 1,440 m³ person⁻¹ year⁻¹ — Round to a convenient figure: approximately 1,440 m³ per person per year.
Step-by-step solution
- Convert total renewable water resources from km³ to m³: 1,870 km³ × 10⁹ = 1.87 × 10¹² m³.
- Write the population as a number: 1.3 billion = 1.3 × 10⁹ persons.
- Divide the total water volume by the population: (1.87 × 10¹² m³) ÷ (1.3 × 10⁹) = 1.87/1.3 × 10³ m³.
- Calculate 1.87 ÷ 1.3 ≈ 1.438.
- Multiply by 10³ to get 1.438 × 10³ ≈ 1,438 m³ per person.
- Round to a convenient figure: approximately 1,440 m³ per person per year.
Common mistake: Incorrect conversion of km³ to m³ or forgetting to divide by population
Concept tested: Per‑capita water availability
Published · How this solution was prepared and checked
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