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
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 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.