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
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
  1. What is the volume of water needed to fill up the tank to the brim?
  2. 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)
4 m
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.
  1. Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
  2. 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.
4 m
Level 3
A cubical tank of edge 30 cm contained some water to a height of 12 cm.
  1. Find the volume of water in the tank at first.
  2. 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.
4 m
Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was 56 filled with water.
  1. What was the volume of the water in the tank in litres?
  2. 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?
4 m