Level 1 PSLE
The volume of a cube is 64 cm3. Find the perimeter of one face of the cube.
1 m
Level 2 PSLE
Jim stacked 9 unit cubes and glued them together to form the solid shown. He painted the whole solid, including the base, red. How many of the 9 cubes had exactly four of their faces painted red?
1 m
Level 2 PSLE
The figure shows 12 identical cubes which are glued together to form a solid. The whole solid, including the base, is then painted blue. How many cubes have three of their faces painted?
1 m
Level 2
A cuboid has a square face of area 49 cm2. The ratio of its length to its breadth is 9 : 7. Find its volume.
2 m
Level 1
The figure shows a cube. The total length of all the edges of the cube is 156 cm. Find the area of the shaded face.
2 m
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 2 PSLE
The block of wood shown was dipped into a pail of paint. The block was then cut into 4 identical cubes along the dotted lines and taken apart. The total unpainted area of the 4 cubes was 216 cm2. What was the volume of each cube?
2 m
Level 2 PSLE
The solid is made up of 5 cubes.
  1. Which view is shown on the grid? Give your answer in number. (Eg 1)
    (1) Front view
    (2) Top view
    (3) Side view
  2. Eva painted the whole solid including the base. Then she took it apart into its 5 cubes. What is the total number of faces that are not painted?
2 m
Level 3
The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm2. Find the volume of 3 such cubes.
3 m
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
3 m
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
  1. Find the area of the shaded face.
  2. Find the volume of the cube.
3 m
Level 3
Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
  1. How many 1-cm cubes did he get?
  2. How many 1-cm cubes had none of its faces painted white?
3 m
Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
3 m
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
3 m
Level 3
A rectangular block is sprayed grey on all the six faces before it is cut into 36 identical cubes as shown in the diagram. The total surface area of the 36 individual cubes is 576 cm2 more than the surface area of the original block that is sprayed grey. What is the volume of the rectangular block?
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 PSLE
Ray had a rectangular block of wood 12 cm by 8 cm by 6 cm. He painted all the faces of the block.
  1. What is the total painted area?
  2. Ray then cut the block into 1-cm cubes. How many of these cubes have none of the faces painted?
  3. How many of these cubes have 2 of the faces painted?
5 m
Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.
  1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
  2. Find the total surface area of the L-shaped block after cutting.
5 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