Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase?
(1 litre = 1000 cm3 )
Level 3 PSLE
The figure shows an empty flower vase of height 40 cm. It is made from 2 containers. The top container is in the form of a cuboid which has a square base side 4 cm and height 28 cm. The bottom container is in the form of a cube of 12 cm. 2.16 litres of water is poured into the empty vase. What is the height of the water level from the base of the vase?
(1 litre = 1000 cm3 )
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Level 3
Helen used a ribbon of length 1 m 40 cm to tie a cubical gift box with a bow as shown. She used 36 cm of ribbon for the bow. What was the volume of the gift box?
Level 3
Helen used a ribbon of length 1 m 40 cm to tie a cubical gift box with a bow as shown. She used 36 cm of ribbon for the bow. What was the volume of the gift box?
Image in this question is not available.
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
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Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
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Level 3
The length of Cube X is 3 times that of the length of Cube Y. The volume of Cube Y is 64 cm3. Find the difference between the volume of the two cubes.
3 m
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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?
Image in this question is not available.
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)
Image in this question is not available.
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.
Image in this question is not available.
