Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.

Level 3
The figure shows a rectangular container with a square base of area 16 cm². The area of the shaded face is 36 cm².

1. What is the height of the container?
2. James filled a third of the container with water. Find the volume of the water.

Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?

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 shows a tank ⁴₅ filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.

Level 3
The diagram shows a container made of some identical sections. Figure A shows one section of the container. When 5828 cm³ of water was poured into the container, find the water level in the container.

Level 3
In the diagram not drawn to scale, Tank J and Tank K each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank J measures 134 cm by 42 cm by 137 cm. Tank K measures 55 cm by 21 cm by 68 cm. Tank L is 69 cm by 20 cm by 26 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank J is completely filled with water and both buttons are pressed, what will be the final water level in Tank L?

Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm² and the base of B has dimensions as shown. A contained 750 cm³ of water and B was empty.

1. What was the height of the water level in A?
2. Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?

Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in 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.

1. Find the new height of the water in Tank A.
2. How many litres of water were poured into Tank B?

Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.

1. How long will it take to fill up the tank? Express your answer in min.
2. What will be the depth of the water in the tank after 2 wooden cubes are removed?

Level 3
Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.

1. What is the height of the cuboid?
2. If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?

Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.

1. What is the height of water in the tank now?
2. It took 1¹₂ h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.

Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?

Level 3
Figure A shows a rectangular container. It is ³₅ filled with water. The length of the container is 18 cm and its breadth is 3 cm.

1. Find the capacity of the container in litres.
2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.

Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.