Level 3
The figure shows a rectangular container with a square base of area 16 cm2. The area of the shaded face is 36 cm2.
  1. What is the height of the container?
  2. James filled a third of the container with water. Find the volume of the water.
3 m
Level 3
A large cubical container of side 60 cm was filled with fruit juice up to 30% of its capacity. After 5 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.
  1. How much fruit juice can each jug hold? Express your answer in mℓ.
  2. How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min. (1 ℓ = 1000 cm3)
4 m
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
3 m
Level 3
A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
3 m