Water flows into a tank at the rate of 60 ℓ per minute. After 24 min, the tap is turned off and the tank is 0.6 filled with water.
- How much more water is needed to fill it to the brim?
- The water in the tank is then poured into containers each 1.3 m long, 0.5 m wide and 24 cm high. What is the minimum number of containers needed?
(a)
0.6 =
35 Let 5 u be the total volume of water when the tank is completely filled.
Volume of water in the tank
= 60 x 24
= 1440 ℓ
3 u = 1440
1 u = 1440 ÷ 3 = 480
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 480
= 960 ℓ
(b)
1 m = 100 cm
1.3 m = 130 cm
0.5 m = 50 cm
Volume of each container
= 130 x 50 x 24
= 156000 cm
3 Volume of water in the tank = 1440 ℓ
1 ℓ = 1000 mℓ
1440 ℓ = 1440000 mℓ
Number of containers needed
= 1440000 ÷ 156000
= 9 r 36000
Minimum number of containers needed
= 9 + 1
= 10
Answer(s): (a) 960 ℓ; (b) 10