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.)