# Surface Area of Triangular Prisms. Definition: The sum of the areas of all of the faces of a three-dimensional figure. Ex. How much construction paper.

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Surface Area of Triangular Prisms

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?

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

Unfolded net of a triangular prism

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

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

Practice Time!

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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