A large cubical container of side 90 cm was filled with fruit juice up to 80% of its capacity. After 6 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
13 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
= 13 x 90 x 90 = 2700 mℓ
Capacity of each jug
= 2700 ÷ 6
= 450 mℓ
(b)
80% =
80100 =
45 Volume of the tank at 80% capacity
=
45 x 90 x 90 x 90
= 583200 cm
3 Volume of fruit juice to drain completely from the container
= 583200 - 2700
= 580500 cm
3 1 ℓ = 1000 cm
3 3 ℓ = 3000 cm
3 Time taken to drain fruit juice
= 580500 ÷ 3000
= 193.5 min
Answer(s): (a) 450 mℓ; (b) 193.5 min