A large cubical container of side 70 cm was filled with fruit juice up to 50% of its capacity. After 4 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
17 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 4 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 4 jugs
= 17 x 70 x 70 = 700 mℓ
Capacity of each jug
= 700 ÷ 4
= 175 mℓ
(b)
50% =
50100 =
12 Volume of the tank at 50% capacity
=
12 x 70 x 70 x 70
= 171500 cm
3 Volume of fruit juice to drain completely from the container
= 171500 - 700
= 170800 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 4000 cm
3 Time taken to drain fruit juice
= 170800 ÷ 4000
= 42.7 min
Answer(s): (a) 175 mℓ; (b) 42.7 min