Water flows into a tank at the rate of 50 ℓ per minute. After 22 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, 0.5 m wide and 22 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
= 50 x 22
= 1100 ℓ
4 u = 1100
1 u = 1100 ÷ 4 = 275
Volume of water to fill the tank to the brim
= 5 u - 4 u
= 1 u
= 1 x 275
= 275 ℓ
(b)
1 m = 100 cm
1.6 m = 160 cm
0.5 m = 50 cm
Volume of each container
= 160 x 50 x 22
= 176000 cm
3 Volume of water in the tank = 1100 ℓ
1 ℓ = 1000 mℓ
1100 ℓ = 1100000 mℓ
Number of containers needed
= 1100000 ÷ 176000
= 6 r 44000
Minimum number of containers needed
= 6 + 1
= 7
Answer(s): (a) 275 ℓ; (b) 7