# 10-3 Surface Areas of Prisms and Cylinders

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10-3 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

Theorem 10-1 Lateral Area and Surface Area of a Prism Base Perimeter h
Height Base Area Surface Area Lateral Area Base Area

#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 5 cm h 3 cm

Theorem 10-2 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