Surface Area Cuboid and Cylinder 18Nov09

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Surface Area - Cuboid and Cylinder 18-Nov-09
Objective Calculate the surface of a cuboids and
cylinders
A cuboid is just a name for a box shape
A cylinder is just a name for a tube shape
Level 7
2
Starter Remembering the formulae (rules) and
things

• The formula for the perimeter of a rectangle is
• L H L H
• L x H x L x H
• L x W 2

H

• a
• b

L

• 2. The formula for the area of a rectangle is
• L H
• L x H
• L x W 2

H
L
3
Starter Remembering the formulae (rules) and
things

• 3. The Greek letter pi ? is approximately
• 3.41
• 3.14
• 34.1

?
3. b 4. c

• 4. The name for the perimeter of a circle is
• Radius
• Diameter
• Circumference

4
Starter Remembering the formulae (rules) and
things

• 5. The radius of a circle is
• The distance from the centre to the edge
• The distance across a passing through the centre
• The distance all the way

5. a 6. c

• 6. The diameter of a circle is
• Half of the radius
• Half the circumference
• Twice as big as the radius

5
Starter Remembering the formulae (rules) and
things

• 7. The formula for the circumference of a circle
  is
• ?r2
• ?r
• ?d

7. c 8. b
8. The formula for the area of a circle is a)
2?r b) ?r2 c) ?d
6
Starter Remembering the formulae (rules) and
things

• 9. ?r2 means
• ? x r x r
• ? x r x 2
• ?x ? x r

9. a 10. c
10. The formula for the area of a triangle
is a) Base x Height b) Base Height c) Base
x Height 2
7
Starter Remembering the formulae (rules) and
things

• 11. The little number 2 on area measures (4 cm2)
  means that
• The answers is times 2
• The units are square cm.
• The units are doubled

11. b 12. c
12. The area of a shape is a way of measuring
its a) Base b) Volume c) Surface
8
Objective Calculate the surface of a cuboid
How could a box have an area?
And all boxes have four sides and a top and a
bottom.
9
(No Transcript)
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Top
A H x L Perimeter LHLH
Top A 3 x 4 A 12 cm2
4
4 3 4 3 14
3
Front
Back
Side
Side
Front Back and Sides A 10 x 14 A 140 cm2
10
Surface Area 12 12 140 164 cm2
Bottom A 3 x 4 A 12 cm2
Bottom
11
Top
A H x L Perimeter LHLH
Top A 5 x 4 A 20 cm2
5
5 4 5 4 18
4
Front
Back
Side
Side
Front Back and Sides A 10 x 18 A 180 cm2
10
Surface Area 20 20 180 220 cm2
Bottom A 5 x 4 A 20 cm2
Bottom
12
12 cm
2 cm
10 cm
2 cm
3 cm
5 cm
Surface Area 12 120 132 cm2
Top and Bottom 20 cm2 Front Back and Sides
140 cm2 Surface Area 160 cm2
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TOP
Area Circle pr2 Circumference pd d 2r pi ?
p 3.14 (to 2 d.p.)
Top A ?r2 A 3.14 x 52 A 78.5 cm2
pd ? 3.14 x 10 31.4
5
Label
A 12 x 314 A 376.8 cm2
12
The surface area is A 2x 78.5 376.8 A
533.8 cm2
Bottom A ?r2 A 3.14 x 52 A 78.5 cm2
BOTTOM
14
TOP
Area Circle pr2 Circumference pd d 2r pi ?
p 3.14 (to 2 d.p.)
Top A pr2 A 3.14 x 82 A 200.96 cm2
pd ? 3.14 x 16 50.24
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Label
A 15 x 50.24 A 753.6cm2
15
The surface area is A 2x 200.96 753.6 A
1155.52 cm2
Bottom A pr2 A 3.14 x 82 A 200.96 cm2
BOTTOM
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Radius 3 Length 10 SA 244.9
Radius 6 Height 10 SA 602.9
Radius 10 Height 15 SA 1570
16
Radius 5 cm Height 4 cm
10 cm
3 cm
4 cm
10
2
Make a poster showing how to find the surface
area of these three shapes
900
6
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