Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
3 m
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
3 m
Level 3
310 of the tank is filled with water. Another 210 litres of water are needed to fill the tank to its brim.
  1. What is the volume of the tank?
  2. The Height of the tank is 60 cm and its length is 100 cm. Find the perimeter of its base.
4 m
Level 3 PSLE
Ann had some identitical cuboids with square base and height, h. She then stacked the cuboid to form the 2 towers. The figure shows the front view and the side views of the 2 towers.
  1. Find h.
  2. Find the volume of the cuboid.
4 m
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?
4 m
Level 3
The figure shows a tank 45 filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.
4 m
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?
4 m
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?
4 m
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
  1. Find the volume of the solid.
  2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
4 m
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
  1. What is the height of each block?
  2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
4 m