Level 3
A rectangular block is sprayed grey on all the six faces before it is cut into 36 identical cubes as shown in the diagram. The total surface area of the 36 individual cubes is 576 cm² more than the surface area of the original block that is sprayed grey. What is the volume of the rectangular block?

Level 3
The figure shows a rectangular glass tank partly filled with 1-cm cubes. After adding 1 extra cube,

1. How many more cubes are needed to Tank completely?
2. What is the volume of glass tank?

Level 3
The figure is made up of identical cubes. If the volume of the solid is 702 cm³,

1. Find the total surface area of the figure.
2. How many more of such cubes is to be added to form a cube of side 54 cm?

Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is ³₄ filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?

Level 3
In the working, A, B, C, D, E and F are 2-digit numbers. If A is 20, B is the 4th multiple of A, C is the 3rd multiple of 11, D is the volume of a cube with length of 4 units, and F is the 4th multiple of 11, what is E?