Surface Areas of Prisms Objective – Find the surface area of prisms.

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Presentation transcript:

Surface Areas of Prisms Objective – Find the surface area of prisms.

Geometry Standard 8.7B  Students will use previous knowledge of surface area to make connections to the formulas for lateral and total surface area band determine solutions for problems involving rectangular prisms, triangular prisms, and cubes.

Formulas You Need to Remember: Area of a Triangle → A = bh ÷ 2 Area of Rectangle → A =lw or A=bh Area of a Square → A= s

Key Concept(s): Lateral Area and Surface Area of a Prism Lateral Area Base Perimeter Height Surface Area Lateral Area Area of the Base(s) Base Perimeter h Base Area L.A. = Ph TSA = Ph + 2B

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

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

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

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

Guided Practice Turn to Page 514 and as a class we will work through problems 1 and 2.