Surface Area of prism and pyramid.notebook
Task 1: Ratio and Proportional relationship Review check list Surface Area of Prisms
Surface Area of Pyramids
Surface Area of prism and pyramid.notebook
Surface Area of Prisms
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Surface Area
The sum of the areas of all outside surfaces of a 3­D figure.
To find surface area, you must find the area of each surface of the figure then add them together.
What type of figure is pictured?
6 in
How many surfaces are there?
How do you find the area of each surface?
3 in
8 in
Surface Area of prism and pyramid.notebook
Surface Area
6 in
3 in
8 in
Bottom Top
8 8 x 3 x 3
24 24
18
6 in
48
+48
3 in
8 in 2
180 in SUM
Back
8
x 6
48 = 180 in2
Front
8
x 6
48
Left Right
6
6 x 3 x 3
18 18
6 in
6 in
3 in
3 in
8 in
8 in
Find the surface area of a rectangular shoe box that has a length of 12 inches, a width of 6 inches and a height of 5 inches.
5 in
6 in
12 in
Top/Bottom
12 x 6 72 x 2 144 click to reveal
Front/Back
12 x 5 60 x 2 120 click to reveal
Left/Right
6
x 5 30
x 2 60
Surface Area
144
120
+ 60 324 in2 click to reveal
click to reveal
Surface Area of prism and pyramid.notebook
1
What is the area of the top or bottom face?
Pull
(2)(4
8 m2
Pull
(2)(6)
12 m
6 m
2 m
4 m
2
What is the area of the left or right face?
6 m
2 m
4 m
Surface Area of prism and pyramid.notebook
3
What is the area of the front or back face?
Pull
(6)(4
24 m
Pull
2(8)+
88 m
6 m
2 m
4 m
4
What is the surface area of the figure?
6 m
2 m
4 m
Surface Area of prism and pyramid.notebook
Find the Surface Area.
1. Draw and label ALL faces
2. Find the correct dimensions for each face
3. Calculate the AREA of EACH face
4. Find the SUM of ALL faces
5. Label Answer
5 yd
go on to see steps
5 yd
4 yd
9 yd
6 yd
5 yd
5 yd
5 yd
5 yd
4 yd
4 yd
9 yd
9 yd
6 yd
6 yd
Triangles
4 x 6 24 / 2 = 12 x 2
24
Left/Right Rectangles
(Same size since isosceles)
5
x 9
45
x 2
90
5 yd
5 yd
4 yd
9 yd
6 yd
Bottom Rectangle
9
x 6
54
Total
Surface
Area
24
54
+ 90
168 yd 2
Surface Area of prism and pyramid.notebook
Find the Surface Area.
1. Draw and label ALL faces
2. Find the correct dimensions for each face
3. Calculate the AREA of EACH face
4. Find the SUM of ALL faces
5. Label Answer
9 cm
TRY THIS ONE
9 cm
6 cm
11 cm
9 cm
9 cm
9 cm
9 cm
9 cm
6 cm
6 cm
11 cm
9 cm
9 cm
Rectangles
Pull
Triangles 11 cm
Click on box to reveal steps.
351 c
Surface Area of prism and pyramid.notebook
5
Find the surface area of the shape below.
1. Draw and label ALL faces
2. Find the correct dimensions for each face
3. Calculate the AREA of EACH face
4. Find the SUM of ALL faces
5. Label Answer
Pull
47 ft
50 ft
21 ft
42 ft
Find the surface area of the shape below.
8 cm
6 cm
Pull
6
9 cm
10 cm
6382
Surface Area of prism and pyramid.notebook
Surface Area of Pyramids
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Surface Area of Pyramids
What is a pyramid?
Polyhedron with one base and triangular faces that meet at a vertex
How do you find Surface Area?
Sum of the areas of all the surfaces of a 3­D Figure
Surface Area of prism and pyramid.notebook
Find the Surface Area.
17.5 cm
go on to see steps
7 cm
8 cm
Find the Surface Area.
17.5 cm
17.5 cm
7 cm
7 cm
17.5 cm
7 cm
8 cm
Bottom Rectangle
8
x 7 56
Surface Area
56
140
+ 122.5 318.5 cm2
8 cm
Front/Back Triangles
8 cm
Left/Right
Triangles
Surface Area of prism and pyramid.notebook
Find the surface area of a square pyramid with base edge of 4 inches and triangle height of 3 inches.
3 in
Base
4
x 4 16
4 Triangles
Surface Area
16
+ 24
40 in2
4 in
Find the surface area.
Be sure to look at the base to see if it is an equilateral or isosceles triangle (making all or two of the side triangles equivalent!).
Base
Triangles
(all equal)
6 in
4 in
3.5 in
4 in
4 in
Surface Area
7
+ 36
43 in2
Surface Area of prism and pyramid.notebook
7 Find the Surface Area of a triangular pyramid with Pull
base edges of 8 in, base height of 4 in and a slant height of 10 in.
10 in
8 in
6.9 in
8 in
8 in
Find the Surface Area.
Pull
8
11 m
12 m
6.7 m
9 m
9 m