Answer :

We have the diagram of the canal as,


Given: Height of the canal = 1.5 m


Breadth of canal = 6 m


Speed of the water in the canal = 10 km/h


If speed of water = 10 km/h


In 1 hr, distance covered by water = 10 km


In 60 minutes, distance covered by water = 10 km


In 1 minute, distance covered by water = 10/60 km = 1/6 km


In 30 minutes, distance covered by water = 30 × 1/6 = 5 km = 5000 m [ 1 km = 1000m]


Volume of canal is given by,


Volume of canal = length × breadth × height


Volume of canal = 5000 × 6 × 1.5 [ length = 5000 m, breadth = 6 m & height = 1.5 m] …(i)


Now, we can understand that volume of the canal will itself be the volume of the area that needs to be irrigated. So,


Volume of the canal = Volume of the area of irrigation


5000 × 6 × 1.5 = Area irrigated × height of irrigation


5000 × 6 × 1.5 = Area irrigated × 8 cm


5000 × 6 × 1.5 = Area irrigated × 8/100 m


Area irrigated =


Area irrigated = 562500 m2


Hence, it will irrigate 562500 m2 area in 30 minutes, if 8 cm of standing water is needed.

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