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Volume of a Cuboid: Exploring Liquid Volume

Learn how to calculate the volume of a cuboid and understand liquid volume using milliliters and liters. Master the formulas and units through interactive exercises.

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Volume of a Cuboid: Exploring Liquid Volume

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  1. The Volume of a cuboid Volume of a cuboid www.mathsrevision.com Liquid Volume… Capacity

  2. Starter Questions 5cm 6cm Exchange Rate £1 =$1.50 www.mathsrevision.com

  3. Volume of a cuboid Learning Intention Success Criteria • To know the formula. • To understand how to • calculate the volume • of cuboid. • Use formula correctly. • Show working and • appropriate units. www.mathsrevision.com

  4. 4cm 18 cubes fit the base. 3cm 6cm Volume of a cuboid www.mathsrevision.com = 1 centimetre cube = 1 cm³ 4 layers of 18 cubes = 4 x 18 = 72 centimetre cubes = 72 cm³

  5. 4cm 3cm 6cm A short cut ! height Area of rectangle breadth length Volume = 6 x 3 x 4 = 72 cm³ Volume= length xbreadth x height

  6. Heilander’s Porridge Oats Working Example 1 Volume = l x b x h V = 18 x 5 x 27 V = 2430 cm³ 27cm www.mathsrevision.com 5 cm 18 cm

  7. Working Example 2 Volume = l x b x h V = 2 x 2 x 2 V = 8 cm³ 2cm www.mathsrevision.com Calculate the volume of the dice.

  8. Volume of a cuboid Now try Exercise 2 Ch16 (page 186) www.mathsrevision.com

  9. Starter Questions 7cm Exchange Rate £1 =$1.50 www.mathsrevision.com

  10. Liquid Volume Learning Intention Success Criteria • To know the term liquid volume. • To understand the • term liquid volume using millilitres and litres. • Work out volumes using 1ml and litres. • Answer to contain • appropriate units. www.mathsrevision.com

  11. Liquid Volume I’m a very small duck! How much water does this hold? 1 cm 1 cm 1 cm Volume = x b x h l = 1 cm³ A cube with volume 1cm³ holds exact 1 millilitre of liquid. A volume of 1000 ml = 1 litre.

  12. Orange Flavour Example 1 Liquid Volume Working Volume = l x b x h V = 6 x 3 x 12 12 cm V = 216 cm³ = 216 ml 3 cm 6 cm So the carton can hold 216 ml of orange juice. www.mathsrevision.com Remember: 1 cm³ = 1 ml How much juice can this carton hold?

  13. Example 2 Working Liquid Volume Volume = l x b x h V = 100 x 30 x 50 V = 150 000 cm³ 50 cm = 150 000 ml = 150 litres 30 cm 100 cm 1cm3 = 1 ml 1000 ml = 1 litre How much water can this fish tank hold in litres? So the fish tank can hold 150 litres of water.

  14. Liquid Volume Now try Exercise 3 Ch16 (page 189) www.mathsrevision.com

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