Surface Area - Cuboid and Cylinder 15-Feb-14 A cuboid is just a name for a box shape Objective...

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

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk

http://www.brain-cells.co.uk/

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



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



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



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



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



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



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.



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



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


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


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


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


Radius = 6

Height = 10

SA = 602.9

Radius = 10

Height = 15

SA = 1570

Radius = 3

Length = 10

SA = 244.9


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

Date post:	27-Mar-2015
Category:	Documents
Upload:	stephanie-malone
View:	217 times
Download:	3 times

Surface Area - Cuboid and Cylinder 15-Feb-14 A cuboid is just a name for a box shape Objective...

Documents