Water flows into a tank at the rate of 30 ℓ per minute. After 11 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 1.2 m long, 0.1 m wide and 11 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
= 30 x 11
= 330 ℓ
2 u = 330
1 u = 330 ÷ 2 = 165
Volume of water to fill the tank to the brim
= 5 u - 2 u
= 3 u
= 3 x 165
= 495 ℓ
(b)
1 m = 100 cm
1.2 m = 120 cm
0.1 m = 10 cm
Volume of each container
= 120 x 10 x 11
= 13200 cm
3 Volume of water in the tank = 330 ℓ
1 ℓ = 1000 mℓ
330 ℓ = 330000 mℓ
Number of containers needed
= 330000 ÷ 13200
= 25 r 0
Minimum number of containers needed
= 25 + 1
= 26
Answer(s): (a) 495 ℓ; (b) 26