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Surface Area of Triangular Prisms

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Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper will I need to fit on the outside of the shape?

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A triangular prism has 5 faces. FRONT BACK RIGHT LEFT BOTTOM 2 Triangular bases 3 rectangular sides

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Unfolded net of a triangular prism

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A triangular prism has 5 faces. FRONT BACK RIGHT LEFT BOTTOM

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In order to find the surface area, find the area of each face. Then the sum all of the areas. FRONT BACK RIGHT LEFT BOTTOM

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Practice Time!

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1) Find the surface area of the triangular prism. 10 ft 20 ft 8 ft 5 ft

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1) Find the surface area of the triangular prism. 10 ft 20 ft 10 ft 8 ft 20 ft 5 ft

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1) Find the surface area of the triangular prism. 10 ft 20 ft 10 ft 8 ft 20 ft 5 ft 40 sq ft 100 sq ft 200 sq ft

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40 + 40 + 100 + 100 + 200 = 480 sq ft 10 ft 20 ft 10 ft 8 ft 20 ft 5 ft 40 sq ft 100 sq ft 200 sq ft

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1) Find the surface area of the triangular prism. 10 ft 20 ft 8 ft 5 ft Formula: SA = ah + aw + bw + cw SA = 10(8) + 10(20) + 5(20) + 5(20) SA = 80 + 200 + 100 + 100 SA = 480 ft²

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2) Find the surface area of the triangular prism. 12 ft 16 ft 5 ft 8 ft

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2) Find the surface area of the triangular prism. 12 ft 16 ft 12 ft 5 ft 16 ft 8 ft

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2) Find the surface area of the triangular prism. 12 ft 16 ft 12 ft 5 ft 16 ft 8 ft 30 sq ft 128 sq ft 192 sq ft

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30 + 30 + 128 + 128 + 192 = 508 sq ft 12 ft 16 ft 12 ft 5 ft 16 ft 8 ft 30 sq ft 128 sq ft 192 sq ft

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2) Find the surface area of the triangular prism. 12 ft 16 ft 8 ft 5 ft Formula: SA = ah + aw + bw + cw SA = 12(5) + 12(16) + 8(16) + 8(16) SA = 60 + 192 + 128 + 128 SA = 508 ft²

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3) Find the surface area of the triangular prism. 15 ft 22 ft 8 ft 10 ft

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3) Find the surface area of the triangular prism. 15 ft 22 ft 15 ft 8 ft 22 ft 10 ft

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3) Find the surface area of the triangular prism. 15 ft 22 ft 15 ft 8 ft 22 ft 10 ft 60 sq ft 220 sq ft 330 sq ft

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60 + 60 + 220 + 220 + 330 = 890 sq ft 15 ft 22 ft 15 ft 8 ft 22 ft 10 ft 60 sq ft 220 sq ft 330 sq ft

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3) Find the surface area of the triangular prism. 15 ft 22 ft 8 ft 10 ft Formula: SA = ah + aw + bw + cw SA = 15(8) + 15(22) + 10(22) + 10(22) SA = 120 + 330 + 220 + 220 SA = 890 ft²

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4) Find the surface area of the triangular prism. 2.5 ft 8 ft 2 ft 4 ft

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4) Find the surface area of the triangular prism. 2.5 ft 8 ft 2.5 ft 2 ft 8 ft 4 ft

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4) Find the surface area of the triangular prism. 2.5 ft 8 ft 2.5 ft 2 ft 8 ft 4 ft 2.5 sq ft 32 sq ft 20 sq ft

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2.5 + 2.5 + 32 + 32 + 20 = 89 sq ft 2.5 ft 8 ft 2.5 ft 2 ft 8 ft 4 ft 2.5 sq ft 32 sq ft 20 sq ft

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4) Find the surface area of the triangular prism. 2.5 ft 8 ft 2 ft 4 ft Formula: SA = ah + aw + bw + cw SA = 2.5(2) + 2.5(8) + 4(8) + 4(8) SA = 5 + 20 + 32 + 32 SA = 89 ft²

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Developing the formula for the Surface Area of a Prism.

Developing the formula for the Surface Area of a Prism.

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