Question

The depth of a cuboidal pond with length of 20 m and breadth of 18.5 m is 3.2 m, let us write by calculating the time required to irrigate whole water of the pond with a pump having the capacity to irrigate 160 kilo lit water per hour. If that quantity of water is poured on a paddy field with a ridge having the length of 59.2 m and breadth of 40 m, then what is the depth of water in that land – let us write by calculating it. [ 1 cubic metre =1 kilo litre]

  • AAAAA Cube and Cuboid
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Answer

Volume of the water in the rectangular tank

= (20 × 18.5 × 3.2) cu m. = 1184 cu m.

= 1184 kilolitre.

Time required to remove the water from the tank by pump =\frac{1184}{160}=\frac{37}{5} \mathrm{hr}=7 \mathrm{hr} 24 m.

2nd part :

Let the height of water in the paddy field = h m.

Volume of water in the paddy field will be 59.2 m × 40 m × h m =2368 h cu m

∴ 2368 h = 1184

∴ h =\frac{1184}{2368}= 0.5 m

∴ Height of water level = 0.5 m

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