Surface Area 6.G.4.

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Presentation transcript:

Surface Area 6.G.4

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.

Find the Surface Area of the Cube

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

Find the Surface Area of the Triangular Prism

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

Find the Surface Area of the Square Pyramid

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

Find the Surface Area of the Rectangular Prism

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 = 112.4 cm2

Find the Surface Area of the Regular Triangular Pyramid

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

Find the Surface Area of the Regular Triangular Prism

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 = 463.2 in2

Find the Surface Area of the Rectangular Pyramid

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 = 107.1 yd2

Find the Surface Area of the Regular Octagonal Prism

Find the Surface Area of the Regular Octagonal Prism 2 Top/Bottom Octagon Bases (8 Triangles) x 8 = 162.4 cm2 8 Rectangular Faces x 2 = 324.8 cm2 x 8 = 222.72 cm2 Surface Area = 547.52 cm2