Level 3
In the figure, a fish tank measuring 52 cm by 25 cm by 48 cm contained 2720 mℓ of water. Serene then turned on a tap that flows at a rate of 4.32 ℓ per minute. How long does it take for the tank to be 23 filled with water? Express your answer in min.
3 m
Level 3
A rectangular tank measuring 50 cm by 25 cm by 19 cm was 12 filled with water. There was a leak at the bottom of the tank and water seeped out at the rate of 5 m? per second. How many minutes would it take to empty the tank completely? Leave your answer correct to 1 decimal place.
3 m
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. Water flows into the tank from Tap A at a rate of 25 ℓ per minute. At the same time, water drains from the tank from Tap B at a rate of 18 ℓ per minute. How long would it take to completely fill the tank?
3 m
Level 3
A tank measuring 30 cm by 24 cm by 20 cm was being filled by two taps. Tap X delivered water at a rate of 140 cm3 per minute while Tap Y delivered water at a rate of 100 cm3 per minute. How long did the 2 taps take to fill the tank completely? Express your answer in min.
3 m
Level 3
How many cubes of edge 2 cm can be cut from a cuboid measuring 18 cm by 12 cm by 10 cm?
3 m
Level 3
How many more cylinders than cuboids are there in the figure?
3 m
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.
3 m
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
3 m
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
3 m
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.
  1. How many 1-cm cubes did he get?
  2. How many 1-cm cubes had none of its faces painted white?
3 m