Surface Areas of Prisms and Cylinders Section 11.6.

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Presentation transcript:

Surface Areas of Prisms and Cylinders Section 11.6

Warm Up Find the area of each figure. Round to the nearest tenth. 1. an equilateral triangle with edge length 12 cm 2. a regular hexagon with edge length 10 m 3. a circle with radius 3.2 in. 4. a circle with diameter 10 ft

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

Formulas You Need to Remember: Area of a Triangle → A = ½ bh Area of Parallelogram → A =bh Area of Trapezoid → A = ½ h(b 1 + b 2 )

Lateral Area and Surface Area of a Prism Lateral Area Base Perimeter Height (Distance between the two bases) Surface Area Lateral Area Area of the Base(s) Base Perimeter h Base Area

Steps to find Surface Area 1. Shade the base. 2. Draw the base. 3. Find the lateral area. 4. Find the area of the base. 5. Find the surface area by adding the lateral and 2(bases)

SURFACE AREA OF A CYLINDER Section 11.2b

Lateral Area and Surface Area of a Cylinder Lateral Area Radius Height Surface Area Lateral Area Base Area Radius h Base Area

Find the surface area of a cylinder with height 10 cm and radius 5 cm in terms of pi. 10 cm 5 cm