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Los Cuerpos Geometricos

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Los Cuerpos Geometricos

  1. 1. Cuerpos geométricos Teacher: Miss Katherinne Huera Grade: 3rd Myrtle Subject: Math
  2. 2. ¿Qué son las figuras geométricas? Las figuras geométricas son dibujos planos, es decir, figuras planas. Vértice cara Lado
  3. 4. Lo que podemos hacer con las figuras geométricas.
  4. 5. ¿Pero qué son los cuerpos geométricos? ¿Un cuerpo geométrico es lo mismo que una figura geométrica?
  5. 6. CUERPO GEOMETRICO Corresponde a una figura geométrica tridimensional , es decir, que se proyecta en tres dimensiones: largo, ancho y alto . Recuerda que los cuerpos geométricos están formados por figuras geométricas Un cuerpo geomético tiene: caras, aristas, vértices y ángulos. largo ancho alto
  6. 7. Cara Cara Vértice Arista Ángulo
  7. 8. Caras: Son los polígonos planos que limitan el poliedro. Hay caras basales (arriba y abajo) y caras laterales (la de los lados). Cara Este cubo tiene en total 6 caras. Esta pirámide tiene en total 5 caras. Cara
  8. 9. ¡Ojo!
  9. 10. Vértice Este cubo tiene 8 vértices. Esta pirámide tiene 5 vértices. Vértices: También se definen como los puntos en que se juntan tres o más aristas. Cúspide
  10. 11. Aristas: Son las intersecciones o uniones de dos caras. Arista Este cubo tiene 12 aristas. Esta pirámide tiene 8 aristas.
  11. 12. ¿Todos los cuerpos geométricos son iguales?
  12. 13. Cuerpos geométricos Poliedros Cuerpos redondos Todas sus caras planas Cubo Prismas Pirámide Cilindro Cono Esfera
  13. 14. En un cuerpo geométrico… Si todas las superficies que lo limitan son planas , el cuerpo se llama poliedro.
  14. 15. 6 caras ¿Cuántas caras posee? ¿Qué figuras tienen sus caras? cuadradas ¿Cómo son sus caras? Planas e iguales ¿Cuántas aristas tiene? 12 aristas Analicemos el CUBO… ¿Cuántos vértices tiene? 8 vértices Es un poliedro….
  15. 16. ¿CUÁL ES LA DIFERENCIA ENTRE ESTOS DOS CUERPOS GEOMÉTRICOS?
  16. 17. Tiene 2 caras basales ¿Cuántas caras basales poseen? ¿Cuántas caras poseen? Tiene 6 caras Tiene 6 caras Tiene 1 cara basal ANALICEMOS….. ¿Cómo son sus caras? Son planas Son planas ¿Qué forma tiene caras laterales? Rectángulo y cuadrado Son triangulares
  17. 18. La diferencia entre estos dos cuerpos geométricos son las caras basales que poseen. Cuando tiene dos caras basales , congruentes (iguales) y paralelas, se denominan prismas. Y si tiene una cara basal, se llama pirámide , siempre y cuando sean cuerpos con sus lados planos . 2 caras basales iguales, planas y paralelas (no se juntan) 1 cara basal plana.
  18. 19. Prismas: son poliedros que tienen dos caras basales iguales, congruentes y paralelas. Sabías que….. Se clasifican según la región que tengan en su cara basal en: prisma de base triangular, prisma de base cuadrangular, prisma de base pentagonal, hexagonal, heptagonal, octagonal, etc Prisma con base cuadrada Prisma con base rectangular Caras basales
  19. 20. Prisma con base triangular Prisma con base pentagonal (base con cara de 5 lados) Prisma con base hexagonal (base con cara de 6 lados)
  20. 21. Pirámides: son poliedros que tienen una cara basal y sus caras laterales son siempre triángulos . Sabías que….. Se clasifican según la región que tengan en su cara basal en: pirámide de base triangular, pirámide de base cuadrangular, pirámide de base pentagonal, hexagonal, heptagonal, octagonal, etc. Pirámide de base triangular Pirámide de base cuadrangular
  21. 22. Pirámide de base pentagonal Pirámide de base octagonal
  22. 23. <ul><li>6 8 12 </li></ul><ul><li>6 9 </li></ul><ul><li>8 12 </li></ul><ul><li>5 5 8 </li></ul>

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