1. Surface Area
6.G.4

2. Vocabulary
Three Dimensional- a figure that has a length, width, and a height.
Face-any of the flat surfaces on a 3 dimensional figure
Edge- Where two faces meet
Vertex- a point where 3 edges meet (Plural: Vertices)
Prism- a 3 dimensional figure, with two parallel and congruent bases
Height- the distance between the prism’s bases.
Net- a two dimensional pattern of a 3 dimensional figure, that can be folded to form the figure.

7. Find the Surface Area of the Cube

8. Find the Surface Area of the Cube
6 Square Faces
x 6 = 73.5 cm2
Surface Area = 73.5 cm2

9. Find the Surface Area of the Triangular Prism

10. Find the Surface Area of the Triangular Prism
2 Triangle Bases
x 2 = 12 units2
Bottom Rectangle
Left Rectangle
Right Rectangle
27 units2
36 units2
45 units2
Surface Area = 120 units2

11. Find the Surface Area of the Square Pyramid

12. Find the Surface Area of the Square Pyramid
Bottom Square
196 yd2
4 Triangle Faces
x 4 = 308 yd2
Surface Area = 504 yd2

13. Find the Surface Area of the Rectangular Prism

14. Find the Surface Area of the Rectangular Prism
Front/Back Faces
x 2 = 39.6 cm2
Left/Right Faces
x 2 = 28.8 cm2
Top/Bottom Faces
x 2 = 44 cm2
Surface Area = cm2

15. Find the Surface Area of the Regular Triangular Pyramid

16. Find the Surface Area of the Regular Triangular Pyramid
Bottom Triangle
7 cm2
3 Triangle Faces
x 3 = 26.4 cm2
Surface Area = 33.4 cm2

17. Find the Surface Area of the Regular Triangular Prism

18. Find the Surface Area of the Regular Triangular Prism
2 Triangle Bases
x 2 = 55.2 in2
3 Rectangular Faces
x 3 = 408 in2
Surface Area = in2

19. Find the Surface Area of the Rectangular Pyramid

20. Find the Surface Area of the Rectangular Pyramid
Bottom Rectangle
35 yd2
2 Front/Back Triangle Faces
x 2 = 40.6 yd2
2 Front/Back Triangle Faces
x 2 = 31.5 yd2
Surface Area = yd2

21. Find the Surface Area of the Regular Octagonal Prism

22. Find the Surface Area of the Regular Octagonal Prism
2 Top/Bottom Octagon Bases (8 Triangles)
x 8 = cm2
8 Rectangular Faces
x 2 = cm2
x 8 = cm2
Surface Area = cm2