211 P5.VO.JM.17083177
Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m
Volume of cuboid Volume of cube Volume transfer Fraction of a whole Unit conversion
212 P5.VO.JM.17083186
Level 3
A rectangular container 40 cm long, 30 cm wide and 25 cm high is 45 filled with water. When some of the water is poured into an empty rectangular glass tank until it is completely full, 4 ℓ of water is left in the container.
  1. How many litres of water was there in the container at first?
  2. What is the height of the glass tank if it is 50 cm long and 25 cm wide?
4 m
Volume of cuboid Height of cuboid Volume transfer Unit conversion
213 P5.VO.NK.23041207
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?
4 m
Volume of cuboid Volume of cube Volume transfer
214 P5.VO.JM.17083195
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
4 m
Height of cuboid Filling tank Volume Transfer Fraction to units
215 P5.VO.NK.23012647
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?
4 m
Volume of cuboid Volume transfer Volume common height
216 P6.VO.NK.21060412
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?
5 m
Volume of cuboid Volume of cube Surface area
217 P6.VO.NK.17053023
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.
5 m
Volume of cuboid Volume of cube Partly painted surface area W Remainder Min-max
218 P6.VO.NK.21060406
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?
5 m
Volume of cuboid Volume of cube Surface area Filling up with cubes
219 P6.VO.NK.17053167
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?
5 m
Volume of cube Height of cuboid Filling tank Fraction of a whole Unit conversion More than or less than Units method
220 P6.VO.JC.23034301
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?
5 m
Volume of cuboid Height of cuboid Volume transfer Fraction of a whole

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