1 / 9

Understanding 3D Geometry: Figures, Surface Area, and Nets

Learn about 3D figures, surface area calculation, and nets for different shapes like cubes, pyramids, and prisms. Explore examples and formulas step by step to enhance your geometry skills.

ttaggart
Download Presentation

Understanding 3D Geometry: Figures, Surface Area, and Nets

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3D Figures, Surface Area and Nets

  2. 3D Figures • What is a 3D figure? • A solid shape with length, width, and height rectangular prisms cube cone cylinder pyramid

  3. 3D Figures • Most 3D figures have • Faces – the flat surfaces or sides • Edges – where the faces meet each other • Vertices – points where the edges meet or the “corners”

  4. 3D Figures • Let’s look at a cube. How many….. • Faces? • Edges? • Vertices? 6 12 8

  5. Surface Area • Surface area – the total area of the OUTSIDE of an object • Example – Think of how much wrapping paper you would need to wrap a box. • How do I find surface area? • find the area of all the faces and add them together

  6. Nets • What is a net? • A net is the pattern made when a 3D figure is laid out flat showing each face of the figure. A net is folded to make a 3D figure.

  7. Nets and Surface Area • You can use nets to help you find the surface area of a 3D figure. • If you take the net of a cube, you see all the faces are squares. You can find the area of 1 of the faces and multiply it by 6 to find the surface area of the entire cube. • Area of a square? s • Cube: SA=s*s*6 or s²*6 • s=3

  8. Rectangular Prism • Find the area of each face and add them all together. All of the faces are rectangles. How many faces? • Top and bottom faces are the same, the front and back faces are the same, and the left and right faces are the same SA= (lw + lw) + (hl + hl) + (hw + hw) • l=8 • w=3 • h=4 SA = (8 x 3 + 8 x 3) + (4 x 8 +4 x 8) + (4 x 3 + 4 x 3) SA = ( 24 + 24 ) + ( 32 + 32 ) + ( 12 + 12) SA = 48 + 64 + 24 Surface Area = 136 cm2

  9. Pyramid 4 Triangles 1 Square • What shapes make up the faces of a pyramid? • Find the area of the base and the area of the 4 sides. Add them together. • Base Area= s*s • Side Area= (1/2)b*h • s = 2 • b=2 • h=3

More Related