victor18silvabr victor18silvabr
  • 09-06-2021
  • Mathematics
contestada

Um poliedro convexo tem 8 vertices e 10 a resta.quantas faces ele tem ?

Respuesta :

michaellvillamizar michaellvillamizar
  • 09-06-2021

Answer:

la respuesta es 15. Esto proviene de una de las ecuaciones de Euler. En 1750, señaló en una carta a Christian Goldbach que en un poliedro convexo

V - E + F = 2

donde V es el número de vértices, E es el número de aristas y F es el número de caras. En su pregunta, V = 10 y F = 8, por lo que la ecuación se convierte en

10 - E + 7 = 2

17 - E = 2

E = 16

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