Water flows into a tank at the rate of 55 ℓ per minute. After 15 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 1.8 m long, 0.2 m wide and 15 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
= 55 x 15
= 825 ℓ
3 u = 825
1 u = 825 ÷ 3 = 275
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 275
= 550 ℓ
(b)
1 m = 100 cm
1.8 m = 180 cm
0.2 m = 20 cm
Volume of each container
= 180 x 20 x 15
= 54000 cm
3 Volume of water in the tank = 825 ℓ
1 ℓ = 1000 mℓ
825 ℓ = 825000 mℓ
Number of containers needed
= 825000 ÷ 54000
= 15 r 15000
Minimum number of containers needed
= 15 + 1
= 16
Answer(s): (a) 550 ℓ; (b) 16