11 P5.VO.NK.23012641
Level 3
The height of the water in a tank which contains 8820 cm3 of water is 18 cm.
  1. Find the base area of the tank.
  2. A piece of brick is gently lowered into this tank and the water level rises by 1.3 cm. What is the volume of the brick?
2 m
Base area x height Displacement
12 P5.VO.NK.23012637
Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
Volume of cuboid Base area x height Area Perimeter Ratio to units Units method
13 P5.VO.JM.17083196
Level 3
Container A measures 28 cm by 20 cm by 14 cm was 34 filled with water. When the water was poured into Container B, it was 14 full. Find the base area of Container B if its height was 20 cm.
3 m
Volume of cuboid Base area x height Filling tank Fraction of a whole
14 P5.VO.JM.17083166
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
Volume Base area x height Square & square root Height of cuboid Filling tank
15 P5.VO.NK.23012642
Level 3
35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
3 m
Base area x height Fraction of a whole Filling tank Unit conversion Units method
16 P5.VO.NK.23012643
Level 3
A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
3 m
Base area x height Filling tank Unit conversion Fraction of a whole Units method
17 P5.VO.NK.23012644
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 m
Base area x height Filling tank Unit conversion Fraction of a whole F Addition & subtraction Units method
18 P5.SP.JC.17083185
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
Rate more than 1 object Base area x height Height of cuboid Filling tank
19 P5.SP.NK.23012628
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
  1. What is the base area of the tank?
  2. After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
4 m
Rate more than 1 object Base area x height Filling tank Fraction of a whole
20 P5.VO.JM.17083171
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
3 m
Volume Base area x height Height of cuboid Volume transfer

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