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Question
Water in a canal 30 cm wide and 12 cm deep, is flowing with a velocity of l00 km per hour.How much area will it irrigate in 30 minutes if 8 cm of standing water is desired?
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Solution
Given that,
Water in the canal forms a cuboid of
width `(h)=300cm=3m`
`height = 12 cm = 1.2 m`
length of cuboid is equal to the distance travelled in 30 min with the speed of 100 km per hour
∴ length of cuboid = `100xx 30/60km=50000 meters`
So, volume of water to be used for irrigation = `50000xx3xx1.2m3`
Water accumulated in the field forms a cuboid of base area equal to the area of the field and height equal to `8/(100) meters `
`∴ (Area of field)xx8/(100)= 50,000xx3xx1.2`
`⇒Area of field = (50000xx3xx1.2xx100)/8 `
`2,250000 meters `
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