Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
3 m
Level 3
The figure shows an empty container. It is made from two cubical tanks. Tanks, Cube A and Cube B, are of sides 10 cm and 20 cm respectively. Cube A is attached to the centre of one of the sides of the Cube B. 5 litres of water is poured into the container such that water flows in to fill part of Cube A. What is the height of the water level in the container? Round off the answer to one decimal place.
3 m
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
4 m
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
  1. What is the height of the water level from the base of the container?
  2. How much more water in cm3 must be poured in so that the water fills up half of the top cube?
5 m
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Level 3
The figure, not drawn to scale, shows an empty tank measuring 20 cm by 15 cm by 15 cm. Water flows from Tap A at a rate of 300 mℓ per minute and from Tap B at a rate of 180 mℓ per minute. Tower X and Tower Y have a base area of 20 cm2 and 30 cm2 respectively. Water is drained out of the container at a rate of 130 mℓ per minute. Find the height of the water level after 13 minutes.
5 m