Water flows into a tank at the rate of 40 ℓ per minute. After 18 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, 0.1 m wide and 18 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
= 40 x 18
= 720 ℓ
3 u = 720
1 u = 720 ÷ 3 = 240
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 240
= 480 ℓ
(b)
1 m = 100 cm
1.1 m = 110 cm
0.1 m = 10 cm
Volume of each container
= 110 x 10 x 18
= 19800 cm
3 Volume of water in the tank = 720 ℓ
1 ℓ = 1000 mℓ
720 ℓ = 720000 mℓ
Number of containers needed
= 720000 ÷ 19800
= 36 r 7200
Minimum number of containers needed
= 36 + 1
= 37
Answer(s): (a) 480 ℓ; (b) 37