Level 3
The figure shows a rectangular container with a square base of area 16 cm2. The area of the shaded face is 36 cm2.
  1. What is the height of the container?
  2. James filled a third of the container with water. Find the volume of the water.
3 m
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
  1. How much more water is needed to fill it to the brim?
  2. The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 2
A rectangular tank measuring in 40 cm by 15 cm by 20 cm is 25 filled with water. How much water is needed to fill the tank to 50% of the capacity? Give your answer in litres.
3 m
Level 3
An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 10 cm respectively, rest on the base of the tank.
  1. Find the capacity of the tank.
  2. How much water must be poured into the tank so that the tank is half filled?
3 m
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
4 m
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
4 m
Level 3
Tank P measuring 40 cm by 24 cm by 36 cm is 56-filled with water. The water is then poured into another tank, Tank Q measuring 24 cm by 20 cm by 18 cm until it is full. What is the volume of water left in Tank P? Give your answer in cubic centimetres.
3 m
Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m