Level 3 A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
- Given that the height of the tank is 45 cm, find the volume of water in the tank.
- All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
4 m
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Level 3
A square base tank has a volume of 2880 cm3. If the edge of the base is 35 that of its height, find the area of its base.
4 m
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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.
- What is the height of the cuboid?
- If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
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.
- What is the height of the cuboid?
- If he wants to build a big cube of side 12 cm, how many more 3-cm cubes will he need?
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Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
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Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
Level 3
A rectangular tank measuring 48 cm by 18 cm by 26 cm was filled with 18.8 litres of water as shown in Figure 1. When three identical wooden blocks were put into the tank, 794 mℓ of water overflowed from the tank as shown in Figure 2. Find the volume of one such wooden block.
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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?
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?
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Level 3
Figure A shows a rectangular container. It is
35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
- Find the capacity of the container in litres.
- All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
Level 3
Figure A shows a rectangular container. It is
35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
- Find the capacity of the container in litres.
- All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
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Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.
- How much water is poured into Container N?
- Find the height of water that remained in Container M.
Level 3
Container M and Container N are identical. Container M is filled with water to the brim and Container N is empty. Some water from Container M is poured into Container N such that the ratio of the volume of water remained in Container M to that in Container N is 3 : 2.
- How much water is poured into Container N?
- Find the height of water that remained in Container M.
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Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
Level 3
The figure, not drawn to scale, shows an empty water container made out of 2 different solid shapes. The total height of the figure is 24 cm. The bottom part of the figure is formed by a 12-cm cube. The top part of the figure is formed by a cuboid with the corners of its square base touching the midpoints of the edges of the cube. The figure on the right shows the view of the solid from the top. 2 litres of water is poured into the empty water container. Find the height of the water level from the base of the water container.
Image in this question is not available.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
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