Water flows into a tank at the rate of 45 ℓ per minute. After 22 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 1.1 m long, 0.3 m wide and 22 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
= 45 x 22
= 990 ℓ
3 u = 990
1 u = 990 ÷ 3 = 330
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 330
= 660 ℓ
(b)
1 m = 100 cm
1.1 m = 110 cm
0.3 m = 30 cm
Volume of each container
= 110 x 30 x 22
= 72600 cm
3 Volume of water in the tank = 990 ℓ
1 ℓ = 1000 mℓ
990 ℓ = 990000 mℓ
Number of containers needed
= 990000 ÷ 72600
= 13 r 46200
Minimum number of containers needed
= 13 + 1
= 14
Answer(s): (a) 660 ℓ; (b) 14