Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
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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?
Image in this question is not available.
Level 3
Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm3. What is the total volume of water in both containers in cm3?
Level 3
Water has been poured into 2 rectangular containers X and Y. The height of the water level in both containers are the same. The difference in the volume of the two containers is 168 cm3. What is the total volume of water in both containers in cm3?
Image in this question is not available.
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 3
The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm2 while the base area of B is 40 cm2. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?
Level 3
The figure is not drawn to scale. A and B are two rectangular tanks. The base area of A is 50 cm2 while the base area of B is 40 cm2. Tank A and B contained some water and the height of the water level in Tank A was 43 cm as shown. Dan then poured some water from Tank A into Tank B. After that, the height of the water level in both tanks became 30 cm. What was the height of the water level in Tank B at first?
Image in this question is not available.
Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
Level 3
The figure is not drawn to scale. Mary poured some water into Tank A and Tank B until the water levels in both tanks were the same. She found out that the total amount of water in both tanks was 32 000 mℓ. She then poured another 1200 mℓ of water into Tank A to fill it to the brim. Find the height of Tank A in the end.
Image in this question is not available.
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
Image in this question is not available.
Level 2
Silas puts ten 1-cm cubes into a transparent tank.
- What is the volume of the transparent tank?
- How many more 1-cm cubes are needed to fill up the whole tank completely?
Level 2
Silas puts ten 1-cm cubes into a transparent tank.
- What is the volume of the transparent tank?
- How many more 1-cm cubes are needed to fill up the whole tank completely?
Image in this question is not available.
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
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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 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
4 m
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Level 2
In the figure, a fish tank measuring 42 cm by 25 cm by 28 cm was filled with water to its brim. Then, 10.08 ℓ of water was removed from the fish tank. Find the volume of water left in the tank. Express your answer in ℓ.
Level 2
In the figure, a fish tank measuring 42 cm by 25 cm by 28 cm was filled with water to its brim. Then, 10.08 ℓ of water was removed from the fish tank. Find the volume of water left in the tank. Express your answer in ℓ.
Image in this question is not available.
Level 2
A rectangular tank measuring 30 cm by 12 cm by 16 cm was completely filled with water. After some water was poured out from the tank, the height of the water decreased from 16 cm to 11 cm. How much water was poured out from the tank?
3 m
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Level 2
The tank measuring 42 cm by 20 cm by 12 cm was 15 filled with water. After some water was added into the tank, the tank became 34 full. How much water was added to the tank?
Level 2
The tank measuring 42 cm by 20 cm by 12 cm was 15 filled with water. After some water was added into the tank, the tank became 34 full. How much water was added to the tank?
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Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
- All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
- Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
- All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Image in this question is not available.
Level 3
Container A measures 28 cm by 20 cm by 14 cm was 34 filled with water. When the water was poured into Container B, it was 14 full. Find the base area of Container B if its height was 20 cm.
Level 3
Container A measures 28 cm by 20 cm by 14 cm was 34 filled with water. When the water was poured into Container B, it was 14 full. Find the base area of Container B if its height was 20 cm.
Image in this question is not available.
Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was
56 filled with water.
- What was the volume of the water in the tank in litres?
- A tap was used to drain the water from the tank at a rate of 4 ℓ per minute. The tap was turned off when the tank was 13 filled with water. How long did it take to drain the water?
Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was
56 filled with water.
- What was the volume of the water in the tank in litres?
- A tap was used to drain the water from the tank at a rate of 4 ℓ per minute. The tap was turned off when the tank was 13 filled with water. How long did it take to drain the water?
Image in this question is not available.
