7.g.6 surface areas of prisms and cubes objective 7.g.6 – find the surface area of prisms
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7.G.6Surface Areas of Prisms and Cubes
Objective 7.G.6 – Find the surface area of prisms.
CA Geometry Standard 7.G.6
Students compute the volumes and surface areas of prisms, pyramids, and cubes; and students commit to memory the formulas for prisms, pyramids, and cubes.
Types of Prisms
Pentagonal Prism
Triangular Prism
Lateral Faces
Lateral Edges
BasesBases
Oblique Prism
h
Right Prism
h
Formulas You Need to Remember:
Area of a Triangle → A = bh ÷ 2
Area of Parallelogram → A =bh
Area of Trapezoid → A = h(b1 + b2) ÷ 2
Key Concept(s):
Lateral Area and Surface Area of a Prism
phAL ..Lateral Area
Base Perimeter
Height
BALAS 2.... Surface
AreaLateral Area
Area of the
Base(s)
Base Perimeter
h
Base Area
Find the surface area of the regular hexagonal prism.
12 m6 m
PhL )6(6P 36
BALAS 2....
apB2
1
)12(36L2m 432L 30
60m 3
m 33
36332
1B
354B2m 5.93B
2m 432L 2m 5.93B)5.93(2432S
187432 S2m 619S
#1 Finding the Surface Area of a Prism
6
360
2
6030
P = 36
#2 Finding the Surface Area of a Prism
Find the surface area of the triangular prism.
12 cm
5 cm
5 cm 6 cm
BALAS 2....
PhAL .. bhB2
1
)12(16.. ALP = 162cm 192.. AL
#3 Example: Find the lateral area of the triangular
prism. L.A. = ph
7 cm
5 cm 4 cm
10 cm
Example: Find the lateral area of the triangular
prism. L.A. = ph p = 5 + 4 + 7 = 16
7 cm
5 cm 4 cm
10 cm
Example: Find the lateral area of the triangular
prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10
7 cm
5 cm 4 cm
10 cm
Example: Find the lateral area of the triangular
prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10 L.A. = 16(10) 7 cm
5 cm 4 cm
10 cm
#3 Example: Find the lateral area of the triangular
prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10 L.A. = 16(10) L.A. = 160 cm2
7 cm
5 cm 4 cm
10 cm