Question:

Level 1 PSLE

The figure shows a cuboid with a square base and a height of 2 cm. The area of the shaded face is 20 cm^{2}.
What is the volume of the cuboid?

The figure shows a cuboid with a square base and a height of 2 cm. The area of the shaded face is 20 cm

1 m

Level 3

A container holds some water up to a height of 71 cm. When 6 identical plastic balls are put into the container, the water level rises by 18 cm. One plastic ball is then removed from the tank, replaced by one metallic ball. The water level increases to 136 cm.

4 m
A container holds some water up to a height of 71 cm. When 6 identical plastic balls are put into the container, the water level rises by 18 cm. One plastic ball is then removed from the tank, replaced by one metallic ball. The water level increases to 136 cm.

- Find the ratio of the volume of 1 plastic ball to 1 metallic ball.
- If the base area of the container is 150 cm
^{2}, find the difference in the volume between the metallic ball and the plastic ball. Give the answer in cm^{3}.

Level 3

Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm^{3}. What is the total volume of water in both containers in cm^{3}?

Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm

3 m

Level 3

The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm^{2} while the base area of B is 40 cm^{2}. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?

The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm

3 m

Level 3

The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm^{2} and 1000 cm^{2 }respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.

The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm

- Find the new height of the water in Tank A.
- How many litres of water were poured into Tank B?

4 m