Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
3 m
Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
3 m
Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
3 m
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
  1. What is the volume of water needed to fill up the tank to the brim?
  2. Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
4 m
Level 3
A cubical tank of edge 30 cm contained some water to a height of 12 cm.
  1. Find the volume of water in the tank at first.
  2. A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute. How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
4 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
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
  1. Find the capacity of the tank.
  2. How much water must be poured into the tank so that the tank is half filled?
3 m
Level 3
Tank A is a cubical tank of side 8 cm. It is 34 filled with water. The water is then poured into Tank B measuring 10 cm by 12 cm by 15 cm.
  1. Find the volume of water in Tank A at first.
  2. How much more water is needed to fill Tank B to the brim? Give your answer in litres.
3 m
Level 3
A rectangular tank measuring 50 cm by 60 cm by 40 cm was completely filled with water. If the water was used to fill some cubical containers of edge 20 cm, how many cubical containers would be fully filled?
3 m
Level 3
Cubical Tank P has a length of 36 cm and is 79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
  1. What is the volume of water in Tank P at first? Give your answer in cm3
  2. What is the volume of water left in Tank P? Give your answer in litres.
3 m