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, [tex]1m^{3} Â = 1,000L[/tex]
⇒[tex]720 m^{3}  = 720  \times  1,000L  = 720,000L[/tex]
So, the capacity of the tank = 720,000 L
and the average usage of water by 300 students = [tex]= \frac{720,000 L}{36,000 L} Â = 20[/tex]
⇒[tex]\textrm{The number of days water lasts}  = \frac{\textrm{Total capacity of the tank}}{\textrm{Average need of water per day}}[/tex]
or, number of days = 20
Hence, Â the water in the tank filled to capacity lasts 20 days.