A large cubical container of side 90 cm was filled with fruit juice up to 30% of its capacity. After 6 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
19 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 6 jugs
= 19 x 90 x 90 = 900 mℓ
Capacity of each jug
= 900 ÷ 6
= 150 mℓ
(b)
30% =
30100 =
310 Volume of the tank at 30% capacity
=
310 x 90 x 90 x 90
= 218700 cm
3 Volume of fruit juice to drain completely from the container
= 218700 - 900
= 217800 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 2000 cm
3 Time taken to drain fruit juice
= 217800 ÷ 2000
= 108.9 min
Answer(s): (a) 150 mℓ; (b) 108.9 min