Level 2 PSLE
Mark glued 15 cubes of side 1 cm to form the solid shown.
  1. Mark painted the whole solid, including the base. What was the total painted area?
  2. Mark added some cubes of side 1 cm to the solid to form a cuboid 3 cm by 5 cm by 5 cm. How many cubes did he add?
2 m
Level 1
What is the maximum number of 3 cm cubes that can be filled into a 12 cm by 9 cm by 7 cm cuboid?
2 m
Level 2
The figure is made up of 1-cm cubes. How many 1-cm cubes must be added to the figure to form a larger cube of 4 cm side?
2 m
Level 2
The figure shows a rectangular glass tank partly filled with unit cubes. More unit cubes are added to fill the tank completely. What is the volume of the added cubes if each cube is a 1-cm cube?
2 m
Level 2 PSLE
The figure shows a rectangular glass box partly filled with unit cubes. When the box is completely filled with unit cubes, how many cubes are there altogether?
2 m
Level 2
The figure is not drawn to scale. 100 3-cm cubes are placed layer by layer into a tank with a base area of 20 cm by 15 cm. What is the height of the cubes when all the cubes are stacked up into the tank?
2 m
Level 2
Find the maximum number of cubes of edge 3 cm that can be cut from a foam cuboid, 27 cm by 24 cm by 18 cm.
2 m
Level 2
Kelvin bought some chocolate came in square pyramid packages as shown in the figure. Each pyramid had a square base area of 1 cm2 and a vertical height of 1 cm. He then packed the candies in a box measuring 6 cm by 4 cm by 7 cm. What was the maximum number of such candies he could pack into the box?
2 m
Level 2
The figure is made up of 2-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?
2 m
Level 2 PSLE
Jamie formed two cuboids with unit cubes. The length, breadth and height of the bigger cuboid are 2 times those of the smaller cuboid. She used 348 unit cubes to form the smaller cuboid. How many unit cubes did she use to form the larger cuboid?
2 m
Level 3
The figure shows a rectangular glass tank partly filled with 1-cm cubes. After adding 1 extra cube,
  1. How many more cubes are needed to Tank completely?
  2. What is the volume of glass tank?
4 m
Level 3
The figure is made up of identical cubes. If the volume of the solid is 702 cm3,
  1. Find the total surface area of the figure.
  2. How many more of such cubes is to be added to form a cube of side 54 cm?
4 m
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
  1. Find the volume of the solid.
  2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
4 m
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
  1. What is the height of each block?
  2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
4 m
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
  1. How many small cubes does David have?
  2. The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
4 m
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
4 m
Level 3 PSLE
An open rectangular box is shown.
  1. The inside of the box including the base is painted. Find the painted area.
  2. When the box is packed full with 1-cm cubes, how many cubes are there?
  3. How many cubes touch inside the box as a result?
5 m