A large cubical container of side 60 cm was filled with fruit juice up to 70% of its capacity. After 2 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 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 2 jugs
= 14 x 60 x 60 = 900 mℓ
Capacity of each jug
= 900 ÷ 2
= 450 mℓ
(b)
70% =
70100 =
710 Volume of the tank at 70% capacity
=
710 x 60 x 60 x 60
= 151200 cm
3 Volume of fruit juice to drain completely from the container
= 151200 - 900
= 150300 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 3000 cm
3 Time taken to drain fruit juice
= 150300 ÷ 3000
= 50.1 min
Answer(s): (a) 450 mℓ; (b) 50.1 min