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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? - Mathematics

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प्रश्न

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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उत्तर

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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अध्याय 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [पृष्ठ ३१]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 23 | पृष्ठ ३१

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