# platonic talk-m-2

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Category: Education

## Presentation Description

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## Presentation Transcript

### Slide 1:

Platonic Solids Family

### Slide 2:

Hi, I am Hexahedron, you can call me Cube. Hi, I am Dodecahedron. Hi, I am Icosahedron . Hi, I am Tetrahedron. Hi, I am Octahedron.

### Slide 3:

Tetrahedron Hexahedron ( cube ) Octahedron Dodecahedron Icosahedron

### Tetrahedron:

Tetrahedron Faces are all equilateral triangles 4 vertices 6 edges 4 faces

### Hexahedron:

Hexahedron Faces are all squares 8 vertices 12 edges 6 faces

### Octahedron:

Octahedron Faces are all equilateral triangles 6 vertices 12 edges 8 faces

### Dodecahedron:

Dodecahedron Faces are all pentagons 20 vertices 30 edges 12 faces

### Icosahedron:

Icosahedron Faces are all equilateral triangles 12 vertices 30 edges 20 faces

### Slide 9:

Platonic Solid Picture Number of Faces Shape of Faces Number of Faces at Each Vertex Number of Vertices Number of Edges Unfolded Polyhedron (Net) Tetrahedron 4 Equilateral Triangle ( 3-sided) 3 4 6 Cube 6 Square (4-sided) 3 8 12 Octahedron 8 Equilateral Triangle (3-sided) 4 6 12 Dodecahedron 12 Regular Pentagon (5-sided) 3 20 30 Icosahedron 20 Equilateral Triangle (3-sided) 5 12 30

### Slide 10:

solid vertices Faces Edges Name Hexahedron 8 6 12 Octahedron 6 8 12 Dodecahedron 20 12 30 Tetrahedron 4 4 6

### Slide 11:

Homework : Questions book: Exercises: (7, 8, and 9) Page 83

### Slide 13:

There are only 5 Platonic solids. Platonic solids All the faces are congruent (same shape and same size). All the edges are equal in length. All the angles are equal in measure. A regular polygon has all its sides equal in length. The faces of a platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex. The name of each solid is derived from the number of its faces.

### Slide 14:

Tetrahedron Hexahedron Octahedron Dodecahedron Icosahedron Made of 4 equilateral triangles It has the smallest volume for its surface Made of 6 squares Commonly called a cube Made of 8 equilateral triangles It rotates freely when held by two opposite vertices Made of 12 equilateral pentagons Made of 20 equilateral triangles It has the largest volume for its surface area

### Slide 15:

Platonic Solid Picture Nets of platonic solids Number of Faces Number of Vertices Number of Edges Tetrahedron 4 4 6 Hexahedron ( cube ) 6 8 12 Octahedron 8 6 12 Dodecahedron 12 20 30 Icosahedron 20 12 30