Level 2
The volume of a cube is 125 cm3. Find the area of the shaded face.
Level 2
The volume of a cube is 125 cm3. Find the area of the shaded face.
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Level 2
A cuboid made up of 1-cm cubes is 4 cm by 2 cm by 1 cm. If the same cubes is made into a larger cube with the same volume, what is the length of the cube?
Level 2
A cuboid made up of 1-cm cubes is 4 cm by 2 cm by 1 cm. If the same cubes is made into a larger cube with the same volume, what is the length of the cube?
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Level 2
The figure is made up of 2-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?
Level 2
The figure is made up of 2-cm cubes. What is the volume of the minimum number of cubes that must be added to form a bigger cube?
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Level 2
The base of a cubical tank has an area of 144 cm2. The tank is 13 filled with water. Find the volume of water in the tank.
2 m
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Level 2 PSLE
Jamie formed two cuboids with unit cubes. The length, breadth and height of the bigger cuboid are 2 times those of the smaller cuboid. She used 348 unit cubes to form the smaller cuboid.
How many unit cubes did she use to form the larger cuboid?
2 m
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Level 2
The total area of the six faces of a cubical box is 96 cm2. What is the volume of the cubical box?
2 m
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Level 1
The base area of the cubical box is 64 cm2. What is the volume of the box?
Level 1
The base area of the cubical box is 64 cm2. What is the volume of the box?
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Level 2 The tank, measuring 21 cm by 20 cm by 40 cm, is
34 filled with water at first. All the water is poured into empty identical bottles to the brim. Each bottle has a capacity of 700 mℓ.
- How much water was there in the tank at first? Give your answer in millilitres.
- How many such bottles are completely filled with water?
Level 2 The tank, measuring 21 cm by 20 cm by 40 cm, is
34 filled with water at first. All the water is poured into empty identical bottles to the brim. Each bottle has a capacity of 700 mℓ.
- How much water was there in the tank at first? Give your answer in millilitres.
- How many such bottles are completely filled with water?
Image in this question is not available.
Level 3
The total surface area of a cube is 6 m2. What is the volume of the cube?
3 m
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Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
3 m
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Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
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Level 3
The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm2. Find the volume of 3 such cubes.
Level 3
The figure shows a cube with 3 painted parts A, B and C. These painted parts are of the same area and they are touching the midpoints of the sides of the cube. The total area of the painted parts is 96 cm2. Find the volume of 3 such cubes.
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Level 3
The figure shown is a staircase made up of 1-cm cubes. What is the volume of the total number of cubes up to Step 20?
Level 3
The figure shown is a staircase made up of 1-cm cubes. What is the volume of the total number of cubes up to Step 20?
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Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
Level 3
The figure is made up of identical cubes. The total area of the shaded faces is 338 cm2. Find the volume of the solid figure when we add 1 more of such cubes to it.
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Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
Level 3
The figure shows a cube. The total length of all the edges of the cube is 156 cm.
- Find the area of the shaded face.
- Find the volume of the cube.
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Level 3 Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
- How many 1-cm cubes did he get?
- How many 1-cm cubes had none of its faces painted white?
Level 3 Oscar had two identical wooden cuboid measuring 28 cm by 7 cm by 9 cm. He glued them together to form a solid as shown. He then painted the whole solid in white paint. After that, he cut the solid into 1-cm cubes.
- How many 1-cm cubes did he get?
- How many 1-cm cubes had none of its faces painted white?
Image in this question is not available.
Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
Level 3 PSLE
The figure shows a solid made up of identical cubes glued together. The surface area of the solid, including the base is painted blue. The volume of the solid is 1750 cm3. What is the total surface area that is painted blue?
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Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Image in this question is not available.
Level 2
The length of cube A is 3 times the length of cube B. Find the ratio of the volume of cube A to cube B.
2 m
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Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase.
(1 litre = 1000 cm3)
Level 3
The figure shows an empty transparent tank made from three containers. The two containers A and B on top are in the form of cuboids which have square bases of side 6 cm and 4 cm as shown in the figure. The bottom container is in the form of a cube of side 14 cm. 3.42ℓ of water are poured into the empty vase. Find the height of the water level from the base of the vase.
(1 litre = 1000 cm3)
Image in this question is not available.