Surface Area - Cuboid and Cylinder 10 Apr 2023
A cuboid is just a
name for a box shape
ObjectiveCalculate the surface of a cuboids and
cylinders
ObjectiveCalculate the surface of a cuboids and
cylinders
A cylinder is just a
name for a tube shape
Level 7
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Starter – Remembering the formulae (rules) and things1. The formula for the perimeter of a rectangle is:
a) L + H + L + H
b) L x H x L x H
c) L x W ÷ 2
H
L
2. The formula for the area of a rectangle is:
a) L + H
b) L x H
c) L x W ÷ 2
H
L
1.a2.b1.a2.b
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Starter – Remembering the formulae (rules) and things3. The Greek letter pi Π is approximately:
a) 3.41
b) 3.14
c) 34.1
4. The name for the perimeter of a circle is:
a) Radius
b) Diameter
c) Circumference
3. b4. c 3. b4. c
Π
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Starter – Remembering the formulae (rules) and things5. The radius of a circle is:
a) The distance from the centre to the edge
b) The distance across a passing through the centre
c) The distance all the way
6. The diameter of a circle is:
a) Half of the radius
b) Half the circumference
c) Twice as big as the radius
5. a6. c 5. a6. c
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Starter – Remembering the formulae (rules) and things7. The formula for the circumference of a circle is:
a) Πr2
b) Πr
c) Πd
8. The formula for the area of a circle is:
a) 2Πr
b) Πr2
c) Πd
7. c8. b7. c8. b
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Starter – Remembering the formulae (rules) and things9. Πr2 means:
a) Π x r x r
b) Π x r x 2
c) Πx Π x r
10. The formula for the area of a triangle is:
a) Base x Height
b) Base + Height
c) Base x Height ÷ 2
9. a10. c9. a10. c
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Starter – Remembering the formulae (rules) and things11. The little number 2 on area measures (4 cm2)
means that:
a) The answers is times 2
b) The units are square cm.
c) The units are doubled
12. The area of a shape is a way of measuring its:
a) Base
b) Volume
c) Surface
11. b
12. c
11. b
12. c
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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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10
43
Front
Top
Bottom
BackSide Side
4 + 3 + 4 + 3 = 14
TopA = 3 x 4A = 12 cm2
Front Back and SidesA = 10 x 14A = 140 cm2
Surface Area
12 + 12 + 140 = 164 cm2
A = H x L
Perimeter = L+H+L+H
BottomA = 3 x 4A = 12 cm2
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10
54
Front
Top
Bottom
BackSide Side
5 + 4 + 5 + 4 = 18
TopA = 5 x 4A = 20 cm2
Front Back and SidesA = 10 x 18A = 180 cm2
Surface Area
20 + 20 + 180 = 220 cm2
A = H x L
Perimeter = L+H+L+H
BottomA = 5 x 4A = 20 cm2
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10 cm
5 cm
2 cm
12 cm
3 cm
2 cm
Top and Bottom = 20 cm2
Front Back and Sides = 140 cm2
Surface Area = 160 cm2
Surface Area
12 + 120
= 132 cm2
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TOP
BOTTOM
Label
Area Circle = πr2
Circumference = πdd = 2rpi π = 3.14 (to 2 d.p.)
5
12
πd 3.14 x 10 = 31.4
Top A = Πr2
A = 3.14 x 52
A = 78.5 cm2
A = 12 x 314
A = 376.8 cm2
The surface area is:
A = 2x 78.5 + 376.8
A = 533.8 cm2
Bottom A = Πr2
A = 3.14 x 52
A = 78.5 cm2
© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk
TOP
BOTTOM
Label
Area Circle = πr2
Circumference = πdd = 2rpi π = 3.14 (to 2 d.p.)
8
15
πd 3.14 x 16 = 50.24
Top A = πr2
A = 3.14 x 82
A = 200.96 cm2
A = 15 x 50.24
A = 753.6cm2The surface area is:
A = 2x 200.96 + 753.6
A = 1155.52 cm2
Bottom A = πr2
A = 3.14 x 82
A = 200.96 cm2
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Radius = 6
Height = 10
SA = 602.9
Radius = 10
Height = 15
SA = 1570
Radius = 3
Length = 10
SA = 244.9
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10 cm
4 cm
3 cmRadius = 5 cm
Height = 4 cm10
86
2900Make a poster
showing how to find the surface area of these three shapes © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk