Answer:
<u>30 hours</u> it will take to fill the reservoir.
Step-by-step explanation:
Given:
Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.
The volume of the reservoir is 108 m³.
Now, to find the number of hours it will take to fill the reservoir.
As given the rate is liters per minute so we convert the volume into liters:
1 m³ = 1000 liters.
Thus, 108 m³ = 1000 × 108 = 108000 liters.
So, the volume of reservoir = 108000 liters.
And the rate of water pouring down = 60 liters per minute.
Now, to get the number of hours to fill the reservoir:
![\frac{volume\ of\ reservoir}{rate\ of\ water\ pouring\ down}](https://tex.z-dn.net/?f=%5Cfrac%7Bvolume%5C%20of%5C%20reservoir%7D%7Brate%5C%20of%5C%20water%5C%20pouring%5C%20down%7D)
![=\frac{108000}{60}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B108000%7D%7B60%7D)
![=1800\ minutes.](https://tex.z-dn.net/?f=%3D1800%5C%20minutes.)
Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:
![\frac{1800}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B1800%7D%7B60%7D)
![=30\ hours.](https://tex.z-dn.net/?f=%3D30%5C%20hours.)
Therefore, 30 hours it will take to fill the reservoir.