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Volume of a cuboid

Liquid Volume… Capacity

The Volume of a cuboid

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Starter Starter QuestionsQuestions

1. Calculate the perimeter of

2. What is the number that is 350 before 20160?

3. Write 27% as a decimal

4. How long is it from 10.03am to 11.35am

5. J en changed £750 into dollars. How many dollars did she get?

5cm

6cm

Exchange Rate

£1 =$1.50

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.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the formula.To know the formula.1. To understand how tocalculate the volumeof cuboid.

2.2. Use formula correctly.Use formula correctly.

3.3. Show working andShow working and appropriate units.appropriate units.

Volume of a cuboid

Volume of a cuboid

4 layers of 18 cubes= 4 x 18

= 72 centimetre cubes = 72 cm³

18 cubes fit the base.

= 1 centimetre cube = 1 cm³

3cm

4cm

6cm

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A short cut !

6 = 72 cm³ Volume =

length

x breadth x 4

x height

length

breadth

height

x 3 Volume =

3cm

4cm

6cmArea of rectangl

e

Volume = l x b x h

V = 18 x 5 x 27

V = 2430 cm³

Example 1

18 cm

5 cm

27cm

Heilander’sPorridge Oats

Working

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Example 2

2cm

Volume = l x b x h

V = 2 x 2 x 2

V = 8 cm³

Working

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Calculate the volume of the dice.

Now try Exercise 2Ch16 (page 186)

Volume of a cuboid

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Starter QuestionsStarter Questions

1. Calculate the perimeter of

2. What is the 5th square ?

3. Write 12.5% as a decimal

4. How long is it from 1.23pm to 15.28 hrs

5. J en changed $450 into pounds. How many pounds did she get?

7cm

Exchange Rate

£1 =$1.50

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Liquid VolumeLiquid Volume

Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the term liquid To know the term liquid volume.volume.

1. To understand theterm liquid volume using millilitres and litres.

2.2. Work out volumes using Work out volumes using 1ml and litres.1ml and litres.

3.3. Answer to containAnswer to contain appropriate units.appropriate units.

1 cm

1 cm

1 cm

Volume = = 1 cm³ x h x b l

How much water does this hold?

A cube with volume 1cm³ holds exact 1 millilitre of liquid.A volume of 1000 ml = 1 litre.

I’m a very small duck!

Liquid VolumeLiquid Volume

Example 1

12 cm

6 cm

3 cm

OrangeFlavour

Volume = l x b x h

V = 6 x 3 x 12

V = 216 cm³

= 216 ml

So the carton can hold 216 ml of orange juice.

How much juice canthis carton hold?

Remember:1 cm³ = 1 ml

WorkingLiquid VolumeLiquid Volume

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Example 2

50 cm

100 cm

30 cm

Volume = l x b x h

V = 100 x 30 x 50

V = 150 000 cm³

= 150 000 ml

So the fish tank can hold 150 litres of water.

How much water can this fish tank hold in litres?

1cm3 = 1 ml

1000 ml = 1 litre

= 150 litres

WorkingLiquid VolumeLiquid Volume

Now try Exercise 3Ch16 (page 189)

Liquid VolumeLiquid Volumew

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