Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
3 m
Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
3 m
Level 3
The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm3. Find the height of the cuboid.
3 m
Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
3 m
Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
3 m
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