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h. w. l. Notes Over 10 - 5. Surface Area. l h. l w. h w. h w. l h. l w. Notes Over 10 - 5. Surface Area. r. Area of circle = p r 2. Area of circle = p r 2. - PowerPoint PPT Presentation
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Surface Area
lw
hl h
l h
l w
l w
h wh w
hwhwlwlwlhlh Area hwlwlh 2Area
Surface Area
Surface Area
r Area of circle = r2
Area of circle = r2
Area of rectangle = l x w where the length is the circumference of the
circle and the width is the height. A = d h
or 2rh. .
h
SA = 2rh + 2r2
Surface AreaFind the surface area of the following figures.
1.
5 cm
12 cm
1 cm
hwlwlh 2Area
2A
2A
2A 2cm 154A
5 1 5 12 1 12
5 60 12
77
Surface AreaFind the surface area of the following figures.
5 yd3 yd
2.
SA = 2rh + 2r2
SA = 2( )( ) + 225 3 5
SA = ( )( ) + ( )30 3.14 3.1450
SA = +94.2 157 = 251.2 yd 2
Surface AreaFind the surface area of the following figures.
3 ft
4 ft
8 ft5 ft
3. The two right triangles will form
a rectangle
3
4
R1 = 3 ( 8 ) = 24R2 = 5 ( 8 ) = 40
R3 = 4 ( 8 ) = 32
SA = + + + = 108 ft 2 12 24 40 32
Pg 530 10 – 5 #1 – 7, 8 – 19 For the space figure represented by each net, find
the surface area to the nearest square unit.
1.
35 m
7 m7 m
7 m
7 m
7 m
hwlwlh 2Area
2A
2A
2A 2m 1078A
7 7 7 35 7 35
49 245 245
539
Pg 530 10 – 5 #1 – 7, 8 – 19 For the space figure represented by each net, find
the surface area to the nearest square unit.
2. 12 yd
10 yd
37.7 yd
SA = lw + 2r2
SA = ( )( ) + 2210 37.7 6
SA = ( ) + ( )377 3.1472
SA = + 377 226 = 603 yd 2
Pg 530 10 – 5 #1 – 7, 8 – 19 For the space figure represented by each net, find
the surface area to the nearest square unit.
3.
30 m
6 m9 m
6 m
9 m
6 m
hwlwlh 2Area
2A
2A
2A 2m 1008A
6 9 6 30 9 30
54 180 270
504
Pg 530 10 – 5 #1 – 7, 8 – 19 Find the surface area for each space figure. If the
answer is not a whole number round to the nearest tenth.
4. 4.8 m
4.6 m
SA = 2rh + 2r2
SA = 2( )( ) + 22
2.4 4.6 2.4SA = ( )( ) +
( )22.08 3.14 3.1411.52
SA = + 69.3312 36.1728= 105.5 m 2
Pg 530 10 – 5 #1 – 7, 8 – 19 Find the surface area for each space figure. If the
answer is not a whole number round to the nearest tenth.
5.
16 mm
12 mm
hwlwlh 2Area
2A 12 12 12 16 12 16
2A
2A 2mm 1056A
144 192 192
528
Pg 530 10 – 5 #1 – 7, 8 – 19 Find the surface area for each space figure. If the
answer is not a whole number round to the nearest tenth.
3 in
4 in
7 in5 in
6. The two right triangles will form
a rectangle
3
4
R1 = 3 ( 7 ) = 21R2 = 5 ( 7 ) = 35
R3 = 4 ( 7 ) = 28
SA = + + + = 96 in 2 12 21 35 28
Pg 530 10 – 5 #1 – 7, 8 – 19 7. The base of a rectangular prism is 3 in. by 5 in., and
the height is 11 in. Draw and label a net for the prism. Find its surface area.
11 in
3 in
5 in
5 in 3 in
hwlwlh 2Area
2A 5 3 5 11 3 11
2A
2A 2in 206A
15 55 33
103
Pg 530 10 – 5 #1 – 7, 8 – 19