# 9-4 Surface Areas of Prisms and Cylinders

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9-4 Surface Areas of Prisms and Cylinders
Objective – Find the surface area of prisms and cylinders.

CA Geometry Standard 9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

Types of Prisms Lateral Edges Lateral Faces Bases Bases
Triangular Prism Pentagonal Prism h h Right Prism Oblique Prism

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
Base Perimeter h Lateral Area Base Perimeter Height Base Area Surface Area Lateral Area Area of the Base(s)

#1 Finding the Surface Area of a Prism
Find the surface area of the regular hexagonal prism. P = 36 12 m 6 m

#2 Finding the Surface Area of a Prism
Find the surface area of the triangular prism. 12 cm 5 cm 6 cm P = 16 5 cm

Key Concept(s): Lateral Area and Surface Area of a Cylinder Base Area
Radius Lateral Area Radius Height h Surface Area Lateral Area Base Area

#3 Finding the Surface Area of a Cylinder
Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi. 5 cm 10 cm

#4 Finding the Surface Area of a Cylinder
Find the surface area of a cylinder with radius 6 ft and height 9 ft in terms of pi. 9 ft 6 ft

Example: Find the surface area of a cylinder with radius 3 ft and height 6 ft. S.A. = 2πrh + 2B 7 ft 5 ft

Example: Find the surface area of the triangular prism. S.A. = ph + 2B
10 cm 5 cm 4 cm 7 cm

Homework Pre-AP Textbook pg.491 #1-14 Evens

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