Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.

Solution:

Given that the reservoir is cuboidal in shape.

The volume of the reservoir = 108 m³ = 108 × 1000 litres = 108000 litres [Since 1 cubic meter = 1000 litre]

The volume of water flowing into the reservoir in 1 minute = 60 L

The volume of water pouring in the reservoir 1 hour = (60 × 60) Litres per hour = 3600 litres / hour

Thus, the required number of hours to fill the reservoir = Volume of the reservoir / Volume of water pouring in the reservoir 1 hour

108000 / 3600 hours = 30 hours

Thus, the number of hours it will take to fill the reservoir is 30 hours.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 11

Video Solution:

Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m³, find the number of hours it will take to fill the reservoir.

Maths NCERT Solutions Class 8 Chapter 11 Exercise 11.4 Question 8

Summary:

Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of the reservoir is 108 m³, the number of hours it will take to fill the reservoir is 30 hours.

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