Question:

Level 1 PSLE

The volume of a cube is 64 cm^{3}. Find the perimeter of one face of the cube.

The volume of a cube is 64 cm

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?

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 3

The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is^{3}_{4} filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?

The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is

4 m

Level 3

A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.

3 m
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.

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.

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

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 cm^{2} more than the surface area of the original block that is sprayed grey. What is the volume of the rectangular block?

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 cm

4 m

Level 3

The figure is made up of identical cubes. If the volume of the solid is 702 cm^{3},

The figure is made up of identical cubes. If the volume of the solid is 702 cm

- Find the total surface area of the figure.
- How many more of such cubes is to be added to form a cube of side 54 cm?

4 m

Level 3

The figure shows a rectangular glass tank partly filled with 1-cm cubes. After adding 1 extra cube,

The figure shows a rectangular glass tank partly filled with 1-cm cubes. After adding 1 extra cube,

- How many more cubes are needed to Tank completely?
- What is the volume of glass tank?

4 m

Level 3

The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is^{3}_{5} filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.

The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is

- What is the capacity of Tank B?
- What is the volume of water in the tank now in litres?

5 m

Level 3

The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.

The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.

- Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
- Find the total surface area of the L-shaped block after cutting.

5 m