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?
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?
Level 3
Container A measures 28 cm by 20 cm by 14 cm was 34 filled with water. When the water was poured into Container B, it was 14 full. Find the base area of Container B if its height was 20 cm.
Level 3
Container A measures 28 cm by 20 cm by 14 cm was 34 filled with water. When the water was poured into Container B, it was 14 full. Find the base area of Container B if its height was 20 cm.
Level 3 35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
Level 3 A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
Level 3 A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
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.
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?
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.
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?
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.
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.
Find the new height of the water in Tank A.
How many litres of water were poured into Tank B?
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.
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
Figure A shows a rectangular container filled with some water and 8 identical blocks. The base area of the rectangular container is 448 cm2. Figure B shows the same container being turned upright. Find the volume of water in the container.
Level 3
Figure A shows a rectangular container filled with some water and 8 identical blocks. The base area of the rectangular container is 448 cm2. Figure B shows the same container being turned upright. Find the volume of water in the container.
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?
