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P6 Math · Chapter 11brightbit.net/worksheets

Volume — Liquid Problems

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    A tank (50×40×30 cm) is 2/5 full. How many litres of water are in it?

    Answer: ____________________________________

  2. 2.

    A full 120-litre tank has a hole leaking 0.5 litres per minute. How long until it is half empty?

    Answer: ____________________________________

  3. 3.

    Water flows into a tank at 3 litres/min and out at 1.5 litres/min. Net fill rate?

    Answer: ____________________________________

  4. 4.

    A metal block (5×4×3 cm) is placed in a tank (20×10 cm base). How much does the water level rise?

    Answer: ____________________________________

  5. 5.

    Tank A (30 litres full) is poured into Tank B (capacity 50 litres, currently 10 litres). What fraction of B is filled?

    Answer: ____________________________________

  6. 6.

    A pool is 25 m × 10 m × 2 m. A pump fills it at 500 litres/min. How many hours to fill? (1 m³ = 1000 L)

    Answer: ____________________________________

  7. 7.

    A stone is dropped into water in a rectangular container (10×8 cm base). The water rises by 2 cm. Find the volume of the stone.

    Answer: ____________________________________

  8. 8.

    A cylindrical bucket (radius 10 cm, height 30 cm) is 70% full of water. A ball (volume 500 cm³) is dropped in. What is the new depth? (π=3.14)

    Answer: ____________________________________

  9. 9.

    Two pipes fill a tank in 4 hours and 6 hours respectively. How long to fill the tank if both work together?

    Answer: ____________________________________

  10. 10.

    Water in a container forms a depth of 12 cm in a 15×10 cm rectangular container. It is poured into a cylinder of radius 5 cm. What is the depth? (π = 3.14)

    Answer: ____________________________________

Answer key — P6 Math: Volume — Liquid Problems

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.24 litres
  2. 2.120 minutes
  3. 3.1.5 litres/min
  4. 4.0.3 cm
  5. 5.4/5
  6. 6.approximately 16.67 hours
  7. 7.160 cm³
  8. 8.approximately 21.6 cm
  9. 9.2.4 hours
  10. 10.approximately 22.9 cm
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