Question

A hostel having strength of 300 students requires on an average 36000 L of water per day. It has a tank measuring 10 m × 8 m × 9 m. For how many days will the water in the tank filled to capacity last?

Answer 1

Answer:

The water in the tank filled to capacity lasts 20 days.

Step-by-step explanation:

Total number of students in the hostel = 300

The average need of water  per day = 36,000 L

The dimensions of the tank =   10 m  ×   8 m   ×   9 m

Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT

     = 10 m   ×   8 m   ×   9 m =  720 cubic meters

Now, $1m^{3} = 1,000L$

⇒$720 m^{3} = 720 \times 1,000L = 720,000L$

So, the capacity of the tank = 720,000 L

and the average usage of water by 300 students = $= \frac{720,000 L}{36,000 L} = 20$

⇒$\textrm{The number of days water lasts} = \frac{\textrm{Total capacity of the tank}}{\textrm{Average need of water per day}}$

or, number of days = 20

Hence,  the water in the tank filled to capacity lasts 20 days.