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Water in a canal 6 m wide and 1.5 m deep flows at 10 km per hour. In 30 minutes, how many hectares can it irrigate if the standing water needed is 8 cm deep? Take 1 hectare = .

Competition practiceAreas & Volumes
  • A56.25
  • B112.5
  • C5.625
  • D562.5

Step-by-Step Solution

In 30 minutes the water advances 5 km = 5000 , so the volume delivered = . Spread 8 cm = 0.08 deep it covers , and 562500/10000 = 56.25 hectares. (Using the full 10 km, i.e. a whole hour, doubles it to 112.5; reading 8 cm as 0.8 gives 5.625; 562.5 forgets to convert into hectares.)
Answer: A) 56.25

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