Decomposição do prisma triangular em tetraedros
|
Uma demonstração da fórmula do volume da pirâmide passa pelo cálculo do volume de um tetraedro. A figura representa uma decomposição de um prisma triangular em três tetraedros. |
|
|
|
1) Identifique os três tetraedros destacados na figura. 2) Use o fato de que duas pirâmides com mesma área da base e mesma altura possuem mesmo volume para mostrar que os volumes dos três tetraedros são iguais (É possível mostrar o fato citado aqui usando apenas semelhança de figuras planas, a relação entre áreas de figuras semelhantes e o Princípio de Cavalieri). 3) Conclua que o volume do tetraedro é um terço do volume do prisma triangular. 4) Use a parte 3) para calcular o volume de uma pirâmide qualquer. Esta é a prova apresentada no livro "A Matemática do Ensino Médio" volume 2. |
As formas Geométricas Espaciais -Poliedros
Ao observarmos a natureza e os objetos feitos pelo homem podemos perceber diferentes formas. Algumas delas tem características comuns que chamamos, na matemática, de [b]Formas Geométricas Espaciais[/b]. Nesta tarefa, exploraremos os Poliedros.
O que são os Poliedros ?
Formas Poliédricas
Formas Não Poliédricas
Questão 1
Compare as formas poliédricas e não poliédricas. Qual a principal diferença entre elas?
Paralelepípedo
Um objeto bastante comum que é usado para transporte de mercadorias é a caixa de papelão. Veja alguns exemplos:[br][img]https://cdn.geogebra.org/material/MVGCAAishKwUHoAt9iaKPbqiTM1UgSFE/material-B6bCFGCJ.png[/img][img]https://cdn.geogebra.org/material/8TvS4URBrMnzbCLgHxOgecaYgLseo2g0/material-nznSUsuW.png[/img][br]Essas caixas têm formato de [b]Paralelepípedo[/b].
PARALELEPÍPEDO
QUESTÃO 2
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantos vértices tem paralelepípedo?
QUESTÃO 3
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantas faces tem paralelepípedo?
QUESTÃO 4
Na construção anterior, para visualizar melhor os elementos do paralelepípedo, marque ou desmarque as caixas "Destacar vértices", "Esconder/Mostrar arestas" e "Esconder/Mostrar Faces". Quantas arestas tem paralelepípedo?
Dimensões do Paralelepípedo
O Paralelepípedo possui 3 dimensões: comprimento, largura e altura. [br][img width=403,height=243]data:image/png;base64,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[/img][br]
Questão 5
No paralelepípedo seguinte, quanto mede a altura, largura e comprimento?[br][img]data:image/png;base64,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[/img]
Planificação
QUESTÃO 6
Na construção anterior, mova o seletor "mova" para ver a planificação do paralelepípedo. Qual polígono que forma as faces do paralelepípedo?
Quando o Paralelepípedo será um Cubo?
QUESTÃO 7
Na construção anterior, mova os seletores "largura", "comprimento" e "altura", buscando fazer combinações até que apareça a frase "Este Paralelepípedo é um Cubo". Como devem ser as dimensões do paralelepípedo para que ele seja um Cubo?
QUESTÃO 8
Na construção anterior, mova os seletores "largura", "comprimento" e "altura" até que se obtenha um cubo. Após isso mova o seletor "mova" para planificar o Cubo. Qual polígono compõe as faces do Cubo?
Dado
QUESTÃO 9
Na construção anterior, altere o ponto "Girar" para ver as diferentes posições do dado. Qual das figuras seguintes representa a planificação do dado?
PRISMAS E PIRÂMIDES
Alguns outros objetos que podem ser vistos no nosso dia a dia e que se assemelham com formas geométricas. Tais objetos se assemelham com os [b]Prismas [/b]e as [b]Pirâmides[/b]. [br][img]https://www.geogebra.org/resource/FbpUrGv8/JChZEdfRdc2yqjkt/material-FbpUrGv8.png[/img][img]https://www.geogebra.org/resource/nfa6MGK3/YlGocrV5H43BXkU3/material-nfa6MGK3.png[/img][img]https://www.geogebra.org/resource/KaUAeRpu/GGiLyqlIPxBy7oiO/material-KaUAeRpu.png[/img][br]
PRISMAS
QUESTÃO 10
Na construção anterior, clique com o botão direito, segure e arraste para ver os prismas em diferentes posições. Quais são os polígonos que formam o prisma vermelho?
Elementos do Prisma
[img]data:image/png;base64,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[/img]
QUESTÃO 11
Um prisma de base hexagonal, possui:
Pirâmides
ELEMENTOS DA PIRÂMIDE
[center][img]data:image/png;base64,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[/img][/center]
QUESTÃO 12
Qual polígono que forma as faces laterais da pirâmide?