The document discusses different types of three-dimensional geometric shapes. It describes regular polyhedrons including the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. It also discusses prisms, pyramids, cylinders, cones, and spheres. It notes the dual relationships between some polyhedrons. Finally, it provides formulas for calculating the areas and volumes of cubes, prisms, pyramids, spheres, cylinders, and cones.

1. PPoolliieeddrrooss
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ccuueerrppooss
rreeddoonnddooss

2. Poliedros regulares
Tetraedro
Cubo o hexaedro
Octaedro
Dodecaedro
Icosaedro

3. Prismas Pirámides
Triangular
Cuadrangular
Pentagonal
Hexagonal

4. Cuerpos redondos
Cilindro
Cono
Esfera

5. Poliedros duales
➢ Tetraedro consigo mismo
➢ Cubo y octaedro
➢ Dodecaedro e icosaedro

6. ÁÁrreeaass yy vvoollúúmmeenneess
● Cubo ● Prisma ● Pirámide
A=6a2 V =a3
AT=AL+ 2 AB
V =AB⋅H
● Esfera ● Cilindro ● Cono
AT=AL+ AB
V =
13
AB⋅H
AT=AL+ AB
AT=AL+ 2 AB
AL=2π R H
AB=π R2
V =AB⋅H
AL=π RG
AB=π R2
V =
13
AB⋅H
A=4π R2 V =
4
3 π R3

7. ÁÁrreeaass yy vvoollúúmmeenneess
● Cubo ● Prisma ● Pirámide
A=6a2 V =a3
AT=AL+ 2 AB
V =AB⋅H
● Esfera ● Cilindro ● Cono
AT=AL+ AB
V =
13
AB⋅H
AT=AL+ AB
AT=AL+ 2 AB
AL=2π R H
AB=π R2
V =AB⋅H
AL=π RG
AB=π R2
V =
13
AB⋅H
A=4π R2 V =
4
3 π R3