Discussion
A river 4 m deep and 50 m wide is flowing at the rate of 2 Km/hr. How much water (in L) will fall into the sea in a minute?
Answer: A
About \(6.67 \times 10^{6}\) litres fall into the sea each minute.
The water flowing past in one minute is a block as wide and deep as the river and as long as the distance the water moves in a minute. 2 km/hr is 2000 m in 60 minutes:
\[ \begin{aligned} \text{length} &= 2000/60 = 33.33\ \text{m} \\ V &= 4 \times 50 \times 33.33 \\ &= 6666.7\ \text{m}^{3} \end{aligned} \]
Since 1 m3 = 1000 L, that is 6,666,667 L, or \(6.67 \times 10^{6}\) L. The other options do not come from these dimensions; forgetting the conversion to litres would give 6666.7, not any listed figure.
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