Question:

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 2 identical containers each holding 202 cm^{3} of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm^{3} and 1183 cm^{3}respectively. What is the volume of each ball? Give the answer in cm^{3}.

The figure shows 2 identical containers each holding 202 cm

3 m

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 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

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

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