REVIEW: Surface Areas of Prisms
Name ___________________________________
Key Concept and Vocabulary
Visual Model
Surface
Area
h
Net for a Rectangular Prism
w
h
h
w
wh
h
wh
w
S = 2ℓw + 2ℓh + 2wh
w
w
Skill Example
w
Application Example
1.
2. Find the surface area of the block.
(
3 ft
⋅ ⋅
⋅
)
⋅
⋅
= 12 + 20 + 12 + 16
2 ft
4 ft
1
2
S=2 — 3 4 +4 5+3 4+4 4
⋅
= 16 + 24 + 12
⋅
⋅
5 cm
= 60 cm2
S = 2(4 2) + 2(4 3) + 2(2 3)
The area is 60 cm2.
2
= 52 ft
4 cm
4 cm
3 cm
PRACTICE
MAKES
PURR-FECT ™
Check your answers at BigIdeasMath.com.
Find the surface area of the prism.
3. Rectangular Prism
4. Rectangular Prism
1 ft
5. Rectangular Prism
3 cm
3 in.
5 ft
10 ft
9 cm
130 ft2
S = ___________
4 in.
6 cm
5 in.
2
6. Triangular Prism
2
198 cm
S = ___________
94 in.
S = ___________
7. Triangular Prism
8. Triangular Prism
5.7 mm
5m
5 cm
3 mm
5m
4m
4 cm
7m
6m
5 cm
3 cm
2
136 m
S = ___________
2
72 cm
S = ___________
4 mm
4 mm
2
57.1 mm
S = ___________
9. AQUARIUM How much glass is used to make
22 ft2
the four sides of the aquarium?
2 ft
10. AQUARIUM How much glass is used to make
6 ft2
the base of the aquarium?
1.5 ft
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4 ft
Topic 12.2
1