Question:

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.

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

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 cm^{2}. What was the volume of each cube?

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 cm

2 m

Level 2

A cuboid has a square face of area 49 cm^{2}. The ratio of its length to its breadth is 9 : 7. Find its volume.

A cuboid has a square face of area 49 cm

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 cm^{2}. Find the volume of 3 such cubes.

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 cm

3 m

Level 3

The figure is made up of identical cubes. The total area of the shaded faces is 338 cm^{2}. Find the volume of the solid figure when we add 1 more of such cubes to it.

The figure is made up of identical cubes. The total area of the shaded faces is 338 cm

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 cm^{3}. Find the total area of the shaded parts.

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 cm

3 m

Level 2 PSLE

The figure shows 11 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
The figure shows 11 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?

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 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 cm^{3}. What is the total surface area that is painted blue?

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 cm

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