Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
Level 3
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
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.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
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.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
Level 3
Becky filled a rectangular container which had a base area of 40 cm2 and a height of 25.2 cm with water. Then, she placed 8 identical metal cubes into this container. As a result, the height of the water in the rectangular container increased by 1.6 cm.
What was the length of each side of the metal cube?
After Becky removed the metal cubes from the container, she poured all the water from the container to fill bottles of 0.35 ℓ. What was the maximum number of bottles she could fill?
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
Find the volume of water in each jug in cubic centimetres.
How much more water would be needed to fill the tank completely? (Give your answer in litres.)
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
Find the volume of water in each jug in cubic centimetres.
How much more water would be needed to fill the tank completely? (Give your answer in litres.)
