Areas and Volumes

1
Areas and Volumes
radius
h
h
b
h
b
b
l
b
diameter
Area l ? b
Area ? ? r2
Area ½ b ? h
Circumference 2?r or ?d
Perimeter 2l 2b
? 3.14
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Rhombus and Kite
A diagonal is a line which joins a vertex to the
opposite vertex
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Parallelogram
Vertical height
base
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Trapezium
b cm
h cm
a cm
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Calculate the area of the shape shown below.
This shape consists of 2 semi-circles 1 rectangle
2 semi-circles 1 circle
6
Calculate the area of the shapes below.
(ii)
(i)
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Page 136 Exercise 1A Page 137 Exercise 1B Page
138 Exercise 2A
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Prisms
A prism is a shape that has a constant cross
sectional area. i.e. opposite faces are
congruent.
The cuboid has two cross sectional areas.
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1. Calculate the volume of the tin.

10cm
12cm
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Page 141 Exercise 3A Page 143 Exercise 3B Page
145 Exercise 4A
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Surface Area of a Cylinder
r
r
h
?d
h
r
Curved Surface Area
Total surface Area
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Page 147 Exercise 5
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Tins of soup 12 cm high with a diameter of 8cm
are placed in a box. The box is 48cm long, 16
cm wide and 12 cm high.

1. How many cans will fit in the box?
2. What is the percentage of space, to the nearest
   percent not used in the box?

We can fit 6 cans along the length of the box, 2
cans along its width and 1 can high.
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(No Transcript)
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Now its time for you to THINK !!
Look at the brainstormer on page 146.
Consider the first cylinder.
We need the radius in terms of x
Now do the same for the second cylinder.
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When x y
The same
When x 2y
NOT The same
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When x n y
NOT The same
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Dimensions Length, Area and Volume
Perimeter P cm (1 dimension)
Volume V cm3 (3 dimensions)
Area A cm2 (2 dimensions)
Sum of lengths
Product of 2 lengths
Product of 3 lengths
Page 148 Exercise 6