The document discusses areas and volumes of polyhedrons. It defines lateral area (AL) and base area (AB), and explains how to calculate total area (AT) and volume for various polyhedrons. Formulas are provided for calculating the volume and total area of a rectangular prism, cube, prism, cylinder, pyramid, and cone. Examples of practice problems are also listed.

1. ÁREA Y VOLUMEN DE
POLIEDROS
MANUEL CORTÉS IZURDIAGA
IES CARMEN DE BURGOS

2. ÁREAS Y VOLÚMENES

ÁREAS


ÁREA LATERAL = AL


ÁREA BASE = AB
ÁREA TOTAL = AT
VOLUMEN

La capacidad del
poliedro

3. ORTOEDRO

VOLUMEN


a·b·c
AREA TOTAL

2·AB+AL

4. CUBO

VOLUMEN


a3
AREA TOTAL

2·AB+AL

6·a2

5. PRISMA

VOLUMEN


A B·h
AREA TOTAL

2·AB+AL

6. CILINDRO

VOLUMEN


·r2·h
AREA TOTAL

2·AB+AL

7. PIRÁMIDE

VOLUMEN


1/3·AB·h
AREA TOTAL

AB+AL

8. CONO

VOLUMEN



1/3·AB·h
1/3··r2·h
AREA TOTAL

AB+AL

9. EJERCICIO

10. EJERCICIO

11. EJERCICIO

12. EJERCICIO

13. EJERCICIO