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
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
Level 3
A rectangular tank measuring 25 cm by 20 cm by 16 cm is half filled with water. If 3 identical cubes each measuring 10 cm by 10 cm by 10 cm are placed inside the water, find the new height of the water level.
5 m
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.
5 m
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.)
5 m