Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m
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Level 3
The solid figure is made up of 6 identical cubes of edge 7 cm.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
Level 3
The solid figure is made up of 6 identical cubes of edge 7 cm.
- Find the volume of the solid figure.
- Find the total surface area of the solid figure.
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Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
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Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
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Level 3
The solid figure is made up of 3-cm cubes.
- Find its volume.
- If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
Level 3
The solid figure is made up of 3-cm cubes.
- Find its volume.
- If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
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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.
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.
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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?
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?
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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.
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.
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Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
Level 2
The solid is made up of cubes of edge 3 cm. How many cubes must be added to form a cuboid 24 cm by 12 cm by 9 cm?
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Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
Level 2 PSLE
Min has two rectangular boxes A and B . The length, breadth and height of Box A are thrice those of Box B. She packed 12 identical cubes exactly into the small box. How many such cubes can be packed exactly into Box A? (The diagram is not drawn to scale.)
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Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
Level 2
The figure is made up of 2-cm cubes. How many more cubes are needed to form a cube of volume 216 cm3?
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Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
Level 2
How many more unit cubes must be added to solid A so that it becomes a cube of 3-cm edge?
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Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
Level 3
Alice is trying to form a 6-cm cube using 1-cm cubes. How many more 1-cm cubes does she need to form the 6-cm cube?
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Level 3
The figure not drawn to scale shows a cubical tank which is
37 filled with water.
- What is the volume of water needed to fill up the tank to the brim?
- Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
Level 3
The figure not drawn to scale shows a cubical tank which is
37 filled with water.
- What is the volume of water needed to fill up the tank to the brim?
- Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
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Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
- Find the volume of water in the tank at first.
- A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
- Find the volume of water in the tank at first.
- A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
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Level 3
A large cubical container of side 60 cm was filled with fruit juice up to 30% of its capacity. After 5 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by
14 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 3 litres per min.
- How much fruit juice can each jug hold? Express your answer in mℓ.
- How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min. (1 ℓ = 1000 cm3)
4 m
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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.
- Find the capacity of the tank.
- How much water must be poured into the tank so that the tank is half filled?
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.
- Find the capacity of the tank.
- How much water must be poured into the tank so that the tank is half filled?
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Level 3
Tank A is a cubical tank of side 8 cm. It is
34 filled with water. The water is then poured into Tank B measuring 10 cm by 12 cm by 15 cm.
- Find the volume of water in Tank A at first.
- How much more water is needed to fill Tank B to the brim? Give your answer in litres.
3 m
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Level 3
A rectangular tank measuring 50 cm by 60 cm by 40 cm was completely filled with water. If the water was used to fill some cubical containers of edge 20 cm, how many cubical containers would be fully filled?
3 m
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Level 3 Cubical Tank P has a length of 36 cm and is
79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
- What is the volume of water in Tank P at first? Give your answer in cm3
- What is the volume of water left in Tank P? Give your answer in litres.
Level 3 Cubical Tank P has a length of 36 cm and is
79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
- What is the volume of water in Tank P at first? Give your answer in cm3
- What is the volume of water left in Tank P? Give your answer in litres.
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