Water flows into a tank at the rate of 50 ℓ per minute. After 23 min, the tap is turned off and the tank is 0.4 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, 0.2 m wide and 23 cm high. What is the minimum number of containers needed?
(a)
0.4 =
25 Let 5 u be the total volume of water when the tank is completely filled.
Volume of water in the tank
= 50 x 23
= 1150 ℓ
2 u = 1150
1 u = 1150 ÷ 2 = 575
Volume of water to fill the tank to the brim
= 5 u - 2 u
= 3 u
= 3 x 575
= 1725 ℓ
(b)
1 m = 100 cm
1.1 m = 110 cm
0.2 m = 20 cm
Volume of each container
= 110 x 20 x 23
= 50600 cm
3 Volume of water in the tank = 1150 ℓ
1 ℓ = 1000 mℓ
1150 ℓ = 1150000 mℓ
Number of containers needed
= 1150000 ÷ 50600
= 22 r 36800
Minimum number of containers needed
= 22 + 1
= 23
Answer(s): (a) 1725 ℓ; (b) 23