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प्रश्न
The rainfall on a certain day was 6 cm. How many litres of water fell on 3 hectares of field on that day?
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उत्तर
The rainfall on a certain day = 6 cm
\[ = 6 \times \frac{1}{100}m ( \because 1 m = 100 cm)\]
= 0 . 06 m
Area of the field = 3 hectares
\[\text { We know that 1 hectare = 10000 }m^2 \]
\[\text { i . e . , 3 hectares = } 3 \times 10000 m^2 = 30000 m^2 \]
\[\text { Thus, volume of rain water that fell in the field = (area of the field) } \times (\text { height of rainfall) }= 30000 \times 0 . 06 = 1800 m^3 \]
Since 1 m^3 = 1000 L, we have:
\[1800 m^3 = 1800 \times 1000 L = 1800000 L = 18 \times 100000 L = 18 \times {10}^5 L\]
\[ \therefore \text { On that day, 18 } \times {10}^5 \text { L of rain water fell on the field } .\]
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