Upcoming SlideShare
×

# 12 1 solid figures lesson

1,396 views

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
1,396
On SlideShare
0
From Embeds
0
Number of Embeds
412
Actions
Shares
0
20
0
Likes
0
Embeds 0
No embeds

No notes for slide

### 12 1 solid figures lesson

1. 1. 12.1-12.5 Exploring SolidsNCSCOS: 2.04
2. 2. New York Planetarium
3. 3. Epcot Center
4. 4. Defns. for 3-dimensional figuresDefns. for 3-dimensional figures• Polyhedron – a solid bounded by polygonsthat enclose a single region of shape. (nocurved parts & no openings!)• Faces – the polygons (or flat surfaces)• Edges – segments formed by theintersection of 2 faces• Vertex – point where three or more edgesintersect
5. 5. Faces, Edges and VerticesThree dimensional (3D) shapes are defined by the number of faces,edges and vertices (corners) that they have.VERTEX(plural is vertices)EDGETETRAHEDRONFACE
6. 6. ExEx: Is the figure a polyhedron? If so, howmany faces, edges, & vertices are there?Yes,F =V =E =569No, thereare curvedparts!Yes,F =V =E =7712
7. 7. Types of Solids• Prism – 2 ≅ faces (called bases) in planes. i.e. first example• Pyramid – has 1 base, all other edgesconnect at the same vertex. i.e. lastexample• Cone – like a pyramid, but base is a circle.• Cylinder – 2  circle bases.or• Sphere – like a ball.
8. 8. More definitions• Regular polyhedron – all faces are ≅,regular polygons. i.e. a cube• Convex polyhedron – all the polyhedrawe’ve seen so far are convex.• Concave polyhedron –“caves in”• Cross section – the intersection of a planeslicing through a solid. Good picture onp.720
9. 9. 5 regular polyhedra• Also called platonic solids.• Turn to page 721 for good pictures at the topof the page.• Tetrahedron – 4 equilateral Δ faces• Cube (hexahedron) – 6 square faces• Octahedron – 8 equilateral Δ faces• Dodecahedron – 12 pentagon faces• Icosahedron – 20 equilateral Δ faces
10. 10. ExEx: How many faces, edges, & vertices arethere?F =V =E =569F =V =E =7712F + V = E + 25 + 6 = 9 + 211 = 11F + V = E + 214 = 14