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?
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.
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.
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.
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.
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?