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Answer :
Given :
The tank is cuboidal in shape having its length (l) as 20 m, breadth (b) as 15 m, and height (h) as 6 m.
Capacity of tank
= l x b x h
= (20 x 15 x 6) \({m}^{3}\)
= 1800 \({m}^{3}\) = 1800000 litres
\(\therefore \) Water consumed by the people Of the village in 1 day = (4000 x 150) litres
= 600000 litres
Now, Let water in this tank last for n days.
So, we get that,
Water consumed by all people of village in n days = Capacity of tank
\(\Rightarrow \) = n x 600000 = 1800000
\(\Rightarrow \) n = 3
Therefore, the water of this tank will last for 3 days.