Question

5. observe os poliedros e complete a tabela sabendo que F é numero de faces, V e o numeros de vertice e A o número de arestas do poliedros. em seguida, responda as questões.​

Answer 1

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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☺lá, Rafaelly, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo. ✌

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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➡ Nome: Pirâmide de base pentagonal

➡ $\Large\blue{\sf F:~6}$  ✅

➡ $\Large\blue{\sf V:~6}$  ✅

➡ $\Large\blue{\sf A:~10}$  ✅

➡ $\Large\blue{\sf V + F:~12}$  ✅

➡ $\Large\blue{\sf A + 2:~12}$  ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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➡ Nome: Prisma de base quadrangular

➡ $\Large\blue{\sf F:~6}$  ✅

➡ $\Large\blue{\sf V:~8}$  ✅

➡ $\Large\blue{\sf A:~12}$  ✅

➡ $\Large\blue{\sf V + F:~14}$  ✅

➡ $\Large\blue{\sf A + 2:~14}$  ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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➡ Nome: Pirâmide de base quadrangular

➡ $\Large\blue{\sf F:~5}$  ✅

➡ $\Large\blue{\sf V:~5}$  ✅

➡ $\Large\blue{\sf A:~8}$  ✅

➡ $\Large\blue{\sf V + F:~10}$  ✅

➡ $\Large\blue{\sf A + 2:~10}$  ✅

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Ⓓ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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➡ Nome: Prisma de base pentagonal

➡ $\Large\blue{\sf F:~7}$  ✅

➡ $\Large\blue{\sf V:~10}$  ✅

➡ $\Large\blue{\sf A:~15}$  ✅

➡ $\Large\blue{\sf V + F:~17}$  ✅

➡ $\Large\blue{\sf A + 2:~17}$  ✅

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☔ Como já era esperado segundo as Relações de Euler para polígonos convexos

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$\Large\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\sf V + F - A = 2}&\\&&\\\end{array}}}}}$

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$\text{\pink{ \Longrightarrow }~\Large\sf\orange{V}}$ sendo o número de vértices;

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{F}}$ sendo o número de faces;

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{A}}$ sendo o número de arestas.

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$