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7.G.6 Surface Areas of Prisms and Cubes Objective 7.G.6 – Find the surface area of prisms.

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CA Geometry Standard 7.G.6 Students compute the volumes and surface areas of prisms, pyramids, and cubes; and students commit to memory the formulas for prisms, pyramids, and cubes.

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

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

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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

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

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

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#3 Example: Find the lateral area of the triangular prism. L.A. = ph 7 cm 5 cm 4 cm 10 cm

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Example: Find the lateral area of the triangular prism. L.A. = ph p = 5 + 4 + 7 = 16 7 cm 5 cm 4 cm 10 cm

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Example: Find the lateral area of the triangular prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10 7 cm 5 cm 4 cm 10 cm

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Example: Find the lateral area of the triangular prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10 L.A. = 16(10) 7 cm 5 cm 4 cm 10 cm

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#3 Example: Find the lateral area of the triangular prism. L.A. = ph p = 5 + 4 + 7 = 16 h = 10 L.A. = 16(10) L.A. = 160 cm 2 7 cm 5 cm 4 cm 10 cm

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