The Volume
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The Volume of a cuboid. Volume of a cuboid. www.mathsrevision.com. Liquid Volume… Capacity. Starter Questions. 5cm. 6cm. Exchange Rate £1 =$1.50. Volume of a cuboid. Learning Intention. Success Criteria. To know the formula. To understand how to calculate the volume of cuboid.

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Mathsrevision

The Volume

of a cuboid

Volume of a cuboid

www.mathsrevision.com

Liquid Volume… Capacity


Starter questions

Starter Questions

5cm

6cm

Exchange Rate

£1 =$1.50

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Mathsrevision

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.

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4cm

18 cubes fit the base.

3cm

6cm

Volume of a cuboid

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= 1 centimetre cube = 1 cm³

4 layers of 18 cubes

= 4 x 18

= 72 centimetre cubes

= 72 cm³


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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


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Heilander’s

Porridge Oats

Working

Example 1

Volume = l x b x h

V = 18 x 5 x 27

V = 2430 cm³

27cm

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5 cm

18 cm


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Working

Example 2

Volume = l x b x h

V = 2 x 2 x 2

V = 8 cm³

2cm

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Calculate the

volume of the dice.


Mathsrevision

Volume of a cuboid

Now try Exercise 2

Ch16 (page 186)

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Starter questions1

Starter Questions

7cm

Exchange Rate

£1 =$1.50

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Liquid volume

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.

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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.


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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.

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Remember:

1 cm³ = 1 ml

How much juice can

this carton hold?


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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.


Mathsrevision

Liquid Volume

Now try Exercise 3

Ch16 (page 189)

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