Measurement 1.3

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# Measurement 1.3 - PowerPoint PPT Presentation

Internal 3 Credits. Measurement 1.3. Achievement. Metrics - Revision. Base Units: . metre (m) - length. litre (L) - capacity (volume). gram (g) - mass (weight). milli (m) -. Prefixes:. *. centi (c) -. *. * commonly used ones. deci (d) -. deca (D) - 10.

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Internal 3 Credits

### Measurement 1.3

Metrics - Revision

Base Units:

metre (m) - length

litre (L) - capacity (volume)

gram (g) - mass (weight)

milli (m) -

Prefixes:

*

centi (c) -

*

* commonly

used ones

deci (d) -

deca (D) - 10

hecto (H) - 100

kilo (k) - 1000

*

mega (M) - 100000

Revision - Metric Conversions

When changing to a larger unit, move the decimal point to the left. How far left depends on the number of zeros in the prefix value.

Examples:

4321 mm =

4.321

m

÷ 1000

521 g =

0.521

kg

÷ 1000

62.1 mm = cm

6.21

÷ 10

When changing to a smaller unit, move the decimal point to the right.

Examples:

x 100

524.3 m = cm

0

52430

4218.4 kg = g

0

0

4218400

x 1000

5.24 cm = mm

52.4

x 10

4.321 km = cm

0

0

x 1000 x 100

432100

What do you think volume is?

• The volume of an object is a measure of how much space it occupies.
• Anyone know how it is measured?
• Cubic units:

Cubic metres

Cubic centimetres

Cubic millimetres

Volume

m3

cm3

mm3

Different Volumes

This is one cubic centimetre

This is one cubic millimetre

1 cm3

1 cm = 10 mm

This is one thousand cubic millimetres.

10mm x 10 mm x 10 mm = 1000 mm3

10 mm

10 mm

What is a prism?

A object with parallel sides that are right-angles to each end.

Rule is that each end has the same shape and size.

Prisms
Volume

Solids of uniform cross-section

Volume of uniform solid = area of end x length

or

= area of end x height

height

end

end

length

Area of the end = 12 x 10

= 120 cm2

Volume = 120 x 15

= 1800 cm3

Area of side = 37 cm2

Length (or height) = 5 cm

What is the volume?

What units?

Prisms - volume

5 cm

37 cm2

Calculate volume of cylinder.

Volume = ?

Volume = r2 * h

Calculate to 4 s.f.

Exercise

r = 1.9m

h = 4.7m

Do exercise 13.01

• 1 a, b
• 2 b
• 4 a
• 5 a, b, d, e
• 6 a, b
• 7 a, b
• 8 c
• 11
Practice examples