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
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 rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.

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
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
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
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?