Water flows into a tank at the rate of 60 ℓ per minute. After 16 min, the tap is turned off and the tank is 0.8 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 1.6 m long, 0.2 m wide and 16 cm high. What is the minimum number of containers needed?
(a)
0.8 =
45 Let 5 u be the total volume of water when the tank is completely filled.
Volume of water in the tank
= 60 x 16
= 960 ℓ
4 u = 960
1 u = 960 ÷ 4 = 240
Volume of water to fill the tank to the brim
= 5 u - 4 u
= 1 u
= 1 x 240
= 240 ℓ
(b)
1 m = 100 cm
1.6 m = 160 cm
0.2 m = 20 cm
Volume of each container
= 160 x 20 x 16
= 51200 cm
3 Volume of water in the tank = 960 ℓ
1 ℓ = 1000 mℓ
960 ℓ = 960000 mℓ
Number of containers needed
= 960000 ÷ 51200
= 18 r 38400
Minimum number of containers needed
= 18 + 1
= 19
Answer(s): (a) 240 ℓ; (b) 19