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 2

A rectangular tank has a base area of 50 cm^{2}. It is half filled with water. If 4 bottles of water are poured into the tank, 250 mℓ of water will overflow. If 3 bottles of water are poured into the tank, 100 mℓ of water will overflow. Find the height of the tank.

2 m
A rectangular tank has a base area of 50 cm

Level 3

Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.

Figure 1 shows a closed rectangular tank of dimensions 40 cm by 40 cm by 80 cm with a cube of edge 20 cm glued to its bottom left corner. The tank contains 70 litres of water. Figure 2 shows the same rectangular tank lying on its side. Find the height of the water level, in centimetres, corrected to 2 decimal places.

3 m

Level 3

Tank A, measuring 40 cm by 30 cm by 50 cm, was filled with water to the brim. Water was then poured from Tank A to Tank B, which has a base area of 900 cm^{2} until the height of the water level in Tank B became twice that of the water level in Tank A. Find the volume of water in Tank B, leaving the answer in litres.

3 m
Tank A, measuring 40 cm by 30 cm by 50 cm, was filled with water to the brim. Water was then poured from Tank A to Tank B, which has a base area of 900 cm

Level 3

A tank with a square base area of 121 cm^{2} is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm^{3} of water would overflow. If 3 pails of water are poured into the tank, 128 cm^{3} of water would overflow. What is the height of the tank ? Give the answer to one decimal place.

3 m
A tank with a square base area of 121 cm

Level 3 PSLE

A and B are two rectangular tanks. The base area of A is 80 cm^{2} while that of B is 50 cm^{2} . At first, A contained water to a height of 40 cm and B was empty, as shown.

A and B are two rectangular tanks. The base area of A is 80 cm

- What was the volume of the water in A at first?
- Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.

3 m

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 PSLE

A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm^{3} more than that of B.

A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm

- What is the height of each block?
- Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?

4 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}.