Konza School constructed a water reservoir in the form of a rectangular cuboid measuring 4 m long,
3 m wide and 2.5 m high to serve a number of students.
a) Determine the capacity of the reservoir in litres.
b) Each student uses an average of 15 litres per day. The reservior tank can last the students 4 days. All the students used the water for 2 days after which 400 students were sent home for school fees. How many more days will the water last the remaining students?
Guide On Rating System
Vote
a) To determine the capacity of the reservoir in litres, we need to multiply the length, width, and height of the cuboid.
Capacity = length × width × height
= 4 m × 3 m × 2.5 m
= 30 m³
Since 1 m³ is equal to 1000 litres, we can convert the capacity to litres.
Capacity in litres = 30 m³ × 1000 litres/m³
= 30,000 litres
b) The total amount of water used by all the students in 2 days is given by:
Total water used = number of students × water usage per student per day × number of days
= 400 students × 15 litres/student/day × 2 days
= 12,000 litres
After 400 students were sent home, the remaining number of students is:
Remaining students = total number of students - number of students sent home
= 400 students - 400 students
= 0 students
Therefore, the number of days the water will last the remaining students is:
Remaining days = (Capacity in litres - Total water used) / (number of students × water usage per student per day)
= (30,000 litres - 12,000 litres) / (0 students × 15 litres/student/day)
= undefined
Since the remaining students is 0, the water will last indefinitely.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99