Question:

Level 2 PSLE

The figure shows a cuboid with a square base of area 9 m^{2}. The area of the shaded face is 18 m^{2}. What is the height of the cuboid?

The figure shows a cuboid with a square base of area 9 m

2 m

Level 3

An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?

An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?

3 m

Level 3

The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm^{3}. Find the height of the cuboid.

The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm

3 m

Level 3

The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?

The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?

3 m

Level 3

The figure shows a rectangular container with a square base of area 16 cm^{2}. The area of the shaded face is 36 cm^{2}.

The figure shows a rectangular container with a square base of area 16 cm

- What is the height of the container?
- James filled a third of the container with water. Find the volume of the water.

3 m

Level 3

The figure is not drawn to scale. A tank has a square base area of 81 m^{2}. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail.

The figure is not drawn to scale. A tank has a square base area of 81 m

3 m

Level 3

Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.

Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.

- What is the height of the cuboid?
- If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?

4 m

Level 3

Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?

Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?

4 m

Level 3

A rectangular container 40 cm long, 30 cm wide and 25 cm high is^{4}_{5} filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 4 ℓ of water is left in the container.

4 m
A rectangular container 40 cm long, 30 cm wide and 25 cm high is

- How many litres of water was there in the container at first?
- What is the height of the glass tank if it is 50 cm long and 25 cm wide?

Level 3

The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.

The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.

4 m