Water flows into a tank at the rate of 50 ℓ per minute. After 14 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, 0.4 m wide and 14 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 14
= 700 ℓ
4 u = 700
1 u = 700 ÷ 4 = 175
Volume of water to fill the tank to the brim
= 5 u - 4 u
= 1 u
= 1 x 175
= 175 ℓ
(b)
1 m = 100 cm
1.6 m = 160 cm
0.4 m = 40 cm
Volume of each container
= 160 x 40 x 14
= 89600 cm
3 Volume of water in the tank = 700 ℓ
1 ℓ = 1000 mℓ
700 ℓ = 700000 mℓ
Number of containers needed
= 700000 ÷ 89600
= 7 r 72800
Minimum number of containers needed
= 7 + 1
= 8
Answer(s): (a) 175 ℓ; (b) 8