Upload
maisie-humphrey
View
66
Download
3
Tags:
Embed Size (px)
DESCRIPTION
Nuffield Free-Standing Mathematics Activity Volume. Volume. The containers for these products are all cuboids. Companies need to know how much containers like these can hold. This activity is about finding the volume of a variety of cuboids like these. 1 cm. 1 mm. 1 mm. 1 cm. 1 mm. 1 cm. - PowerPoint PPT Presentation
Citation preview
© Nuffield Foundation 2011
Nuffield Free-Standing Mathematics Activity
Volume
Volume
The containers for these products are all cuboids.
This activity is about finding the volume of a variety of cuboids like these.
Companies need to know how much containers like these can hold.
1 cm
1 cm
1 cm 1 mm
1 mm
1 mm
The volume of a shape is the amount of space it fills.
1 m
1 cubic metre
1 m3 1mm3
1 m
1 m
1 cm3
Volume
Volume = length × width × height
Volume = 4 × 2 × 3
4 cm
3 cm
2 cm
Volume = 24 cm3
Volume = area of cross-section x length
Volume of a cuboid
For a cuboid Volume = length × width × height
or Volume = area of cross-section x length
Volume of the fish tankExample
60 cm
120 cm50 cm
Volume = 120 × 50 × 60
= 120 × 3000
= 360 000 cm3
Capacity in litres = 360 000 ÷ 1000
= 360 litres(1 litre = 1000 cm3)
Example Concrete block
10 cm
2.5 m12 cm
Volume = 250 × 12 × 10
= 2500 × 12
Volume = 30 000 cm3
= 250 cm
For a cuboid Volume = length × width × height
or Volume = area of cross-section x length
Think about…Think about…Why might there be a problem with these dimensions?
Volume = 0.6 m3
Example Sand in sandpit
20 cm
2 m1.5 m
Volume = 2 × 1.5 × 0.2
= 3 × 0.2
= 0.2m
= 0.6
For a cuboid Volume = length × width × height
or Volume = area of cross-section x length
Think about…Think about…Which dimension should be converted?
Reflect on your work
A manufacturer needs to know the volume of a box (cuboid). Explain how to find this.
What units can volume be measured in?
Volume
Suggest dimensions that you could use to make a carton with a volume of 1 litre (1000 cm³).