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General

General

Easy

Question

A Village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 mx 15 m x 6m.For how many days will the water of tank last ?

hint Hint:

A cuboid is a solid 3 dimensional figure with six-faces, 8 vertices and 12 edges. Its faces are rectangles.

Volume is the capacity of a certain object to carry or hold another objects within i.e. the amount of space that the object holds. Volume of a cuboid = length × width × height

1 $m cubed$ = 1,000 L

The correct answer is: The water tank will last for 3 days.

Step-by-step solution:
From the given information, we get-

Total population of the village = 4,000 people

Water requirement per person per day = 150 l

Now, we know that-
Total requirement of water for the village per day = Number of people consuming water $cross times$ Water requirement per person per day
∴ Total requirement of water for the village per day = 4,000 $cross times$ 150 ........................................................ (From given information)

∴ Total requirement of water for the village per day = 6,00,000 L
∴ Total requirement of water for the village per day = (6,00,000 / 1,000) $m cubed$ ......................................... (1 $m cubed$ = 1,000 l)
∴ Total requirement of water for the village per day = 600 $m cubed$ ............................................................... (Equation i)
Also, we are given the dimensions of the water tank- 20m $cross times$ 15m × 6m
We know that volume of the tank = 20 $cross times$ 15 $cross times$ 6 ........................................................................................ (Volume = l × b × h)
∴ Volume of the tank = 1,800 $m cubed$ .......................................................................................... (Equation ii)
Now, we know that-
Number of days water tank will last = $fraction numerator T o t a l space V o l u m e space o f space w a t e r space tan k space over denominator W a t e r space r e q u i r e d space b y space t h e space v i l l a g e space i n space a space d a y end fraction$
∴ Number of days water tank will last = $1800 over 600$ ................................................................................ (From Equations i & ii)

∴ Number of days water tank will last = 3 days.

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