Question

1) A village population of 5000. It requires 120L of water per head per
day It has a tank measuring 20m by 20m by 3 m. For how many days
the water of this tank will last?​

Answer 1

Answer: 2 days

Given that,

• A village of population of 5000 people and each people requires 120L of water per day.

Also,

• The village has a tank which measures 20m by 20m by 3m. Looking at the dimension, It is clear that the tank is in the shape of a cuboid.

Now, lets find the total amount of water required by the village per day, which is given by:-

⇒ Water required by 1 person × Population

⇒ 120 × 5000

⇒ 600,000 L

We know, the volume of a cuboid is given by:-

⇒ Length × Breadth × Height

⇒ 20 × 20 × 3

⇒ 400 × 3

⇒ 1200 m³

But, we need the volume of the tank in litres in order to find the number of days it is gonna last for, so 1 m³ = 1000 L , hence

⇒ Volume of Tank = 1,200,000 L

Now, the number of days the tank is gonna last for is given by:-

⇒ Volume of Tank ÷ Amount of water required per day

⇒ 1,200,000 / 600,000

⇒ 2

Hence, the tank is gonna last for 2 days.