A large cubical container of side 80 cm was filled with fruit juice up to 20% of its capacity. After 5 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
14 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 2 litres per min.
- How much fruit juice can each jug hold? Express your answer in cm3.
- How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min.
(a)
Capacity of 5 jugs
= 14 x 80 x 80 = 1600 mℓ
Capacity of each jug
= 1600 ÷ 5
= 320 mℓ
(b)
20% =
20100 =
15 Volume of the tank at 20% capacity
=
15 x 80 x 80 x 80
= 102400 cm
3 Volume of fruit juice to drain completely from the container
= 102400 - 1600
= 100800 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 2000 cm
3 Time taken to drain fruit juice
= 100800 ÷ 2000
= 50.4 min
Answer(s): (a) 320 mℓ; (b) 50.4 min