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CaroVT
@CaroVT
March 2022
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UFC-CE - O número de faces de um poliedro convexo com 20 vértices e com todas as faces triangulares é igual a:
a) 28
b) 30
c) 32
d) 34
e) 36
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carloseduaardo
Verified answer
Todas as faces são triangulares, então as arestas valem 3F/2
A+2=V+F
3F/2+2=20+F
Colocar tudo no mesmo denominador
(3F+4)/2=20+F
3F+4=40+2F
3F-2F=40-4
F=36
O poliedro tem 36 faces
109 votes
Thanks 206
brayansdv72
Resposta:36
Explicação passo-a-passo:
9 votes
Thanks 10
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Lista de comentários
Verified answer
Todas as faces são triangulares, então as arestas valem 3F/2A+2=V+F
3F/2+2=20+F
Colocar tudo no mesmo denominador
(3F+4)/2=20+F
3F+4=40+2F
3F-2F=40-4
F=36
O poliedro tem 36 faces
Resposta:36
Explicação passo-a-passo: