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 cm2. What is the volume of the cuboid?
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.
1. Find the ratio of the volume of 1 plastic ball to 1 metallic ball.
2. If the base area of the container is 150 cm2, find the difference in the volume between the metallic ball and the plastic ball. Give the answer in cm3.
4 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 cm3. What is the total volume of water in both containers in cm3?
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 cm2 while the base area of B is 40 cm2. 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?
3 m
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 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.
1. Find the new height of the water in Tank A.
2. How many litres of water were poured into Tank B?
4 m
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
1. What is the height of the water level from the base of the container?
2. How much more water in cm3 must be poured in so that the water fills up half of the top cube?
5 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 cm3 more than that of B.
1. What is the height of each block? 2 m
2. 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? 2 m
4 m
Level 2
A rectangular tank has a base area of 50 cm2. 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
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.
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 cm2 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