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Áreas, perímetros y volúmenes

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Geometría en acción

Created by

Francisco Javier Hernández Nava
Francisco Javier Hernández Nava
Mexico

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Áreas, perímetros y volúmenes
 

Áreas, perímetros y volúmenesOnline version

Geometría en acción

by Francisco Javier Hernández Nava
1

Slide 1: Introducción

Bienvenidos a un recorrido de áreas, perímetros y volúmenes. Descubriremos cómo medir figuras planas y sólidos con precisión y claridad.

Trabajaremos con casos de la vida cotidiana

2

Slide 2: Área de figuras planas

El área es la cantidad de superficie dentro de una figura. Se mide en unidades cuadradas, como cm² o m².

3

Slide 3: Área de un rectángulo

Área = base × altura. Por ejemplo, un rectángulo de 5 cm de base y 3 cm de altura tiene A = 15 cm².

4

Slide 4: Área de un cuadrado y triángulo

Cuadrado: A = lado². Triángulo: A = (base × altura) / 2. Comprueba la altura correspondiente a la base.

5

Slide 5: Área de un círculo

Área = π × radio². Usa π ≈ 3,1416; si el radio es 4 cm, A ≈ 50,27 cm².

6

Slide 6: Perímetro

El perímetro es la longitud alrededor de la figura. Se calcula sumando todos sus lados o usando fórmulas específicas.

7

Slide 7: Perímetro de figuras habituales

Rectángulo: P = 2 × (base + altura). Cuadrado: P = 4 × lado. Triángulo: P = suma de sus lados.

8

Slide 8: Unidades y conversiones

Unidades de área y perímetro cambian con la escala (cm², m²; cm, m). Convertir facilita comparar medidas.

9

Slide 9: Volumen

El volumen mide cuánto ocupa un sólido. Se expresa en unidades cúbicas, como cm³ o m³.

10

Slide 10: Volumen de prismas rectos

Volumen = base × altura × profundidad. Por ejemplo, un prisma con base 3 cm, altura 4 cm y profundidad 5 cm tiene V = 60 cm³.
 
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