logging in or signing up Maths- Solid Figures madhavi_23 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 3652 Category: Education License: All Rights Reserved Like it (3) Dislike it (0) Added: September 16, 2009 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Solid Figures 12.1 : Polyhedrons A polyhedron CANNOT have any curved sides. A solid bound by polygons that enclose a single region of space. 12.1 Determine which of the following is a polyhedra. : Determine which of the following is a polyhedra. Slide 4: How many polygons make up the polyhedron Faces 6 Faces Slide 5: A line segment formed by the intersection of two faces Edges 12 Edges Slide 6: A point where three or more edges meet Vertex 8 Vertex Slide 7: Euler's Theorem Faces (F) + Vertices (V) = Edges (E) + 2 F + V = E + 2 Use Euler’s formula to solve for the following: : Use Euler’s formula to solve for the following: F = 20 V = 8 E = F + V = E + 2 20 +8 = E + 2 28 = E + 2 26 = E Count the number of faces, vertices, and edges. : Count the number of faces, vertices, and edges. 4 4 6 Slide 10: Regular Tetrahedron Four Regular Triangles (the net) Slide 11: Cube Four Regular Quadrilaterals (the net) Slide 12: Regular octahedron Eight Regular Triangles (the net) Slide 13: Regular dodecahedron Twelve Regular Pentagons (the net) Slide 14: Regular icosahedron Twenty Regular Triangles (the net) Slide 15: Prisms Pyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism Hexagonal Pyramid Slide 16: Surface Area and Volume of Spheres Slide 17: r Radius of a Sphere Slide 18: If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere. Slide 19: Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere. Formulas for a Sphere : Formulas for a Sphere Slide 21: 25 in The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.) Slide 22: 8 in Surface Area of a Sphere (round to the nearest hundredths) Slide 23: 10 cm Surface Area of a Sphere (round to the nearest hundredths) Slide 24: 2 cm Volume of a Sphere (round to the nearest hundredths) Slide 25: 10 cm Volume of a Sphere You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Maths- Solid Figures madhavi_23 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 3652 Category: Education License: All Rights Reserved Like it (3) Dislike it (0) Added: September 16, 2009 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Solid Figures 12.1 : Polyhedrons A polyhedron CANNOT have any curved sides. A solid bound by polygons that enclose a single region of space. 12.1 Determine which of the following is a polyhedra. : Determine which of the following is a polyhedra. Slide 4: How many polygons make up the polyhedron Faces 6 Faces Slide 5: A line segment formed by the intersection of two faces Edges 12 Edges Slide 6: A point where three or more edges meet Vertex 8 Vertex Slide 7: Euler's Theorem Faces (F) + Vertices (V) = Edges (E) + 2 F + V = E + 2 Use Euler’s formula to solve for the following: : Use Euler’s formula to solve for the following: F = 20 V = 8 E = F + V = E + 2 20 +8 = E + 2 28 = E + 2 26 = E Count the number of faces, vertices, and edges. : Count the number of faces, vertices, and edges. 4 4 6 Slide 10: Regular Tetrahedron Four Regular Triangles (the net) Slide 11: Cube Four Regular Quadrilaterals (the net) Slide 12: Regular octahedron Eight Regular Triangles (the net) Slide 13: Regular dodecahedron Twelve Regular Pentagons (the net) Slide 14: Regular icosahedron Twenty Regular Triangles (the net) Slide 15: Prisms Pyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism Hexagonal Pyramid Slide 16: Surface Area and Volume of Spheres Slide 17: r Radius of a Sphere Slide 18: If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere. Slide 19: Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere. Formulas for a Sphere : Formulas for a Sphere Slide 21: 25 in The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.) Slide 22: 8 in Surface Area of a Sphere (round to the nearest hundredths) Slide 23: 10 cm Surface Area of a Sphere (round to the nearest hundredths) Slide 24: 2 cm Volume of a Sphere (round to the nearest hundredths) Slide 25: 10 cm Volume of a Sphere