A large cubical container of side 60 cm was filled with fruit juice up to 40% of its capacity. After 6 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
16 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 3 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 6 jugs
= 16 x 60 x 60 = 600 mℓ
Capacity of each jug
= 600 ÷ 6
= 100 mℓ
(b)
40% =
40100 =
25 Volume of the tank at 40% capacity
=
25 x 60 x 60 x 60
= 86400 cm
3 Volume of fruit juice to drain completely from the container
= 86400 - 600
= 85800 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 3000 cm
3 Time taken to drain fruit juice
= 85800 ÷ 3000
= 28.6 min
Answer(s): (a) 100 mℓ; (b) 28.6 min