In pairs build a cuboid with volume 60cm3
1
Volume
The volume of a prism is the area of the end face x its depth.
2
Area
3
Mabel's bed has a volume of 75000cm3.
What are some possble dimensions?
Write this volume in m3.
Page 111­115 odds only
4
Converting units
The cube has volume 1m3.
Write this in cm3.
A cuboid has volume 2500cm3.
Write this in m3.
The triangle has area 3 m2.
Write this in cm2.
This hexagon has area 22cm2.
Write this in mm2.
page 117 qu 1 ­ 12
Work out the area of your exercise book in cm2 and mm2.
5
Homework for Monday
Make either a cylinder or a triangular prism with volume 60cm3.
You MUST show your working in your book or on paper.
I suggest you bring it to school in a small box eg margarine container.
6
Converting units
5cm
Find the area in m2.
10cm
0.5m
Find the area in m2 and cm2.
2m
What is the volume of this cube in m3 and cm3?
1m
page 117
7
How might you measure length?
Dimensions
Which of these might measure area?
bh
2
d
bhd
cm
cm
2
3bh
r
2
3
cm
m2
bh
How many formulae can you construct for volume?
Possible or impossible?
vol of a sphere=4 r 3
3
volume of a cone = 1 bhl
3
volume of a tetrahedron = 4 l w
page 121
8
Homework
Revise for a test on ch 4 ­ 6 on Monday.
Use the test yourself at the end of the chapters.
9
A box 3x4x5cm has volume 60cm3
Find its surface area.
Design a box with the same volume but a larger sa.
Who is interested in the design of boxes?
Why might they want a large sa?
10
Something to make you think...
If all the people in the world lie head to feet in a long line, how far round the world would they stretch?
1.26 x107÷36000
Is a volume ever equal in numerical value to a sa?
How could you find the surface area of your body?
11