1. Level 7 Surface Area - Cuboid and Cylinder 28-Mar-17
Objective
Calculate the surface of a cuboids and cylinders
A cylinder is just a name for a tube shape
A cuboid is just a name for a box shape
Level 7
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2. a b 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
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3. Π 3. b 4. c Starter – Remembering the formulae (rules) and things
3. The Greek letter pi Π is approximately:
3.41
3.14
34.1 Π
3. b
4. c
4. The name for the perimeter of a circle is:
Radius
Diameter
Circumference
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4. 5. a 6. c 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
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5. 7. c 8. b Starter – Remembering the formulae (rules) and things
7. The formula for the circumference of a circle is:
Πr2 Πr Πd
7. c
8. b
8. The formula for the area of a circle is:
a) 2Πr
b) Πr2
c) Πd
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6. 9. a 10. c Starter – Remembering the formulae (rules) and things
9. Πr2 means:
Π x r x r
Π x r x 2
Πx Π 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
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7. 11. b 12. c 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
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8. Finding the surface area of a box
The surface area of a box is the total of all the rectangles that are its sides, top and bottom.
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9. Front Back and Sides A = 10 x 14 A = 140 cm2 Top 4 + 3 + 4 + 3 = 14
A = H x L
Perimeter = L+H+L+H
Top
A = 3 x 4
A = 12 cm2 4
= 14 3
Front
Side
Back
Side
Front Back and Sides
A = 10 x 14
A = 140 cm2 10
Bottom
A = 3 x 4
A = 12 cm2
Surface Area
= 164 cm2
Bottom
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10. Top 5 + 4 + 5 + 4 = 18 Front Side Back Side Front Back and Sides
A = H x L
Perimeter = L+H+L+H
Top
A = 5 x 4
A = 20 cm2 5
= 18 4
Front
Side
Back
Side
Front Back and Sides
A = 10 x 18
A = 180 cm2 10
Surface Area
= 220 cm2
Bottom
A = 5 x 4
A = 20 cm2
Bottom
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11. Front Back and Sides = 140 cm2 Surface Area = 160 cm2
= 132 cm2
Top and Bottom = 20 cm2
Front Back and Sides = 140 cm2
Surface Area = 160 cm2
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12. Label TOP πd  3.14 x 10 = 31.4 5 A = 12 x 314 A = 376.8 cm2 12
A = Πr2
A = 3.14 x 52
A = 78.5 cm2
Area Circle = πr2
Circumference = πd
d = 2r
pi  π = 3.14 (to 2 d.p.)
πd  3.14 x 10 = 31.4 5
Label
A = 12 x 314
A = cm2 12
The surface area is:
A = 2x
A = cm2
Bottom
A = Πr2
A = 3.14 x 52
A = 78.5 cm2
BOTTOM
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13. Label TOP πd  3.14 x 16 = 50.24 8 A = 15 x 50.24 A = 753.6cm2 15
A = πr2
A = 3.14 x 82
A = cm2
Area Circle = πr2
Circumference = πd
d = 2r
pi  π = 3.14 (to 2 d.p.)
πd  3.14 x 16 = 50.24 8
Label
A = 15 x 50.24
A = cm2 15
The surface area is:
A = 2x
A = cm2
Bottom
A = πr2
A = 3.14 x 82
A = cm2
BOTTOM
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14. Radius = 3 Length = 10 SA = 244.9 Radius = 6 Radius = 10 Height = 10
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15. Radius = 5 cm Height = 4 cm 10 2 900 6 8 10 cm 3 cm 4 cm
Make a poster showing how to find the surface area of these three shapes
900 6 8
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