Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.

1. How much water is poured into Container N?
2. Find the height of water that remained in Container M.

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.

Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is ⁴₅ full of water. When ¹₄ of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.

Level 3
The figure shows a sealed bottle of height 35 cm. It is made from two containers. The top container is in the form of a cuboid with a square base. The bottom container is in the form of a cube of side 20cm. The height of the water in the bottle (shown in Figure A) is 18 cm.

When the same bottle is turned upside down (shown in Figure B), the height of the water in the bottle is 29 cm. How much water can the sealed bottle hold if it is completely filled?

Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?

Level 3
Tank X was filled with water with water up to a height of 11 cm while Tank Y and Z were empty. Water was poured out into Tank Y and Z such that the water in all tanks were the same height in the end. How much water was poured out of Tank X?

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
Ray had a rectangular block of wood 12 cm by 8 cm by 6 cm. He painted all the faces of the block.

1. What is the total painted area?
2. Ray then cut the block into 1-cm cubes. How many of these cubes have none of the faces painted?
3. How many of these cubes have 2 of the faces painted?

Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.

1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
2. Find the total surface area of the L-shaped block after cutting.

Level 3 PSLE
An open rectangular box is shown.

1. The inside of the box including the base is painted. Find the painted area.
2. When the box is packed full with 1-cm cubes, how many cubes are there?
3. How many cubes touch inside the box as a result?

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.

1. What is the capacity of Tank B?
2. What is the volume of water in the tank now in litres?

Level 3 PSLE
The figure shows the amount of water in two rectangular Tanks, A and B, at first.
Ray poured ¹₄ of the water from A into B to fill it to the top, without overflowing.

1. How much water was there in A at first?
2. Ray then poured all the water from B into A. 720 cm³ of water overflowed from A. What was the height of A?

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?

Level 3 PSLE
There was a total of 22 000 cm³ of water in rectangular tanks A and B at first. The height of the water level in tank B was 6 cm above that of tank A.

1. Find the height of the water level in tank X.
2. Ann poured 4200 cm³ of water out of tank Y. Tank Y was then half filled with water. What was the height of tank Y?

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
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.

1. Find the volume of water in each jug in cubic centimetres.
2. How much more water would be needed to fill the tank completely? (Give your answer in litres.)