Relação de Euler
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Easy
SILVIA LUDKE
Used 7+ times
FREE Resource
3 Slides • 2 Questions
1
Relação de Euler
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2
A relação de Euler é uma igualdade que relaciona o número de vértices, arestas e
faces em poliedros convexos. Ela diz que o número de faces mais o de vértices é
igual ao número de arestas mais dois.
A relação de Euler é dada por:
Onde,
F é o número de faces,
V o número de vértices,
A o número de arestas.
3
Com base na relação de Euler resolva os exercícios:
4
Match
Relacione o prisma com o número de aresta que possui:
cubo
prisma triangular
prisma retangular
prisma hexagonal
prisma pentagonal
12
9
12
18
15
12
9
12
18
15
5
Open Ended
Um poliedro convexo possui 20 faces e 12 vértices. Determine o número de arestas.
Relação de Euler
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