Question:

Level 1

The figure is made up of 3-cm cubes. What is the volume of the figure?

The figure is made up of 3-cm cubes. What is the volume of the figure?

2 m

Level 1

What is the maximum number of cubes of edge 6 cm that can be cut from a foam cuboid, 67 cm by 36 cm by 27 cm?

2 m
What is the maximum number of cubes of edge 6 cm that can be cut from a foam cuboid, 67 cm by 36 cm by 27 cm?

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

The solid is made up of 3-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?

The solid is made up of 3-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

The area of each face of the cube in the figure is b^{2} cm^{2}.

The area of each face of the cube in the figure is b

- Find the volume of the cube in terms of b.
- If b
^{2}= 36, find the volume of the cube.

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

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

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 3

9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up^{3}_{4} of the tank. What is the height of the tank? Correct the answer to 1 decimal place.

3 m
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up