Water flows into a tank at the rate of 30 ℓ per minute. After 17 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 1.6 m long, 0.3 m wide and 17 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
= 30 x 17
= 510 ℓ
3 u = 510
1 u = 510 ÷ 3 = 170
Volume of water to fill the tank to the brim
= 5 u - 3 u
= 2 u
= 2 x 170
= 340 ℓ
(b)
1 m = 100 cm
1.6 m = 160 cm
0.3 m = 30 cm
Volume of each container
= 160 x 30 x 17
= 81600 cm
3 Volume of water in the tank = 510 ℓ
1 ℓ = 1000 mℓ
510 ℓ = 510000 mℓ
Number of containers needed
= 510000 ÷ 81600
= 6 r 20400
Minimum number of containers needed
= 6 + 1
= 7
Answer(s): (a) 340 ℓ; (b) 7