A large cubical container of side 60 cm was filled with fruit juice up to 50% of its capacity. After 3 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
12 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 3 jugs
= 12 x 60 x 60 = 1800 mℓ
Capacity of each jug
= 1800 ÷ 3
= 600 mℓ
(b)
50% =
50100 =
12 Volume of the tank at 50% capacity
=
12 x 60 x 60 x 60
= 108000 cm
3 Volume of fruit juice to drain completely from the container
= 108000 - 1800
= 106200 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 3000 cm
3 Time taken to drain fruit juice
= 106200 ÷ 3000
= 35.4 min
Answer(s): (a) 600 mℓ; (b) 35.4 min