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 34 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?
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 34 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?
Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
the volume of the pail.
the minimum number of such pails to fill the tank.
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
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.
Find the ratio of the volume of 1 plastic ball to 1 metallic ball.
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.
