1 P5.VO.JM.17083141
Level 3
An iron cube of side 8 cm is melted and recast into a cuboid which has a square base of side 4 cm. What is the height of the cuboid?
3 m
Volume of cube Height of cuboid
2 P5.VO.JM.17083140
Level 3
The figure shows a cuboid that is formed by putting 12 identical cubes together. The volume of the cuboid is 96 cm3. Find the height of the cuboid.
3 m
Volume of cuboid Volume of cube Cube & cube root Height of cuboid
3 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
4 P5.VO.JM.17083143
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
Volume of cuboid Height of cuboid Filling tank Unit conversion More than or less than
5 P5.VO.JM.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 Height of cuboid Filling tank
6 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
7 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
8 P5.SP.JC.17083190
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.
  1. How long will it take to fill up the tank? Express your answer in min.
  2. What will be the depth of the water in the tank after 2 wooden cubes are removed?
5 m
Rate 1 object Volume of cuboid Height of cuboid Filling tank Displacement
9 P5.VO.JM.17083139
Level 3
Alan has 24 cubes of edge 3 cm. He uses all the cubes to make a cuboid that has a square base as shown.
  1. What is the height of the cuboid?
  2. If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
4 m
Height of cuboid Filling up with cubes More than or less than
10 P5.VO.JM.17083191
Level 3
Tank A measuring 50 cm by 46 cm by 15 cm contained 34 ℓ of water. Tank B measuring 40 cm by 30 cm by 35 cm contained 18 ℓ of water. Alan poured some water from Tank A into Tank B without spilling and the water level of Tank B rose to 28 cm. What was the height of water level left in Tank A?
4 m
Volume of cuboid Height of cuboid Volume transfer

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