Você conhece as propriedades dos primas? Propriedades como, nomes, formas, calculo de área e volumes?
[justify][size=100][/size][/justify][size=100][justify][/justify][justify][size=150][/size][/justify][/size][justify]Um [b]prisma[/b] é um poliedro formado por [b]duas bases congruentes e paralelas[/b], ligadas por [b]faces laterais que são paralelogramos[/b]. Ele possui elementos como [b]bases, altura, vértices, arestas e faces laterais[/b].[br][br][/justify][list][*]A [b]altura[/b] corresponde à distância entre as duas bases.[br][/*][/list][list][*]O [b]nome do prisma[/b] depende da forma da base:[/*][/list]Base triangular → [b]prisma triangular[br][br][/b]Base pentagonal → [b]prisma pentagonal[br][br][/b]E assim por diante, conforme o polígono da base.[br]
[justify]O nome do prisma depende do polígono que forma suas bases:[br][br][/justify][list][*][b]Prisma triangular[/b] → base em triângulo.[br][/*][*][b]Prisma quadrangular[/b] → base em quadrado ou retângulo.[br][/*][*][b]Prisma pentagonal[/b] → base em pentágono.[br][/*][*][b]Prisma hexagonal[/b] → base em hexágono.[br][/*][*][b]Prisma octogonal[/b] → base em octógono.[br][/*][/list]
[justify][/justify][b]Prisma reto[/b]: as arestas laterais são [b]perpendiculares[/b] às bases, e as faces laterais são [b]retângulos[/b].[br][br][b]Prisma oblíquo[/b]: as arestas laterais [b]não são perpendiculares[/b] às bases, e as faces laterais são [b]paralelogramos inclinados[/b].[br][br]Veja os exemplos abaixo.
Um [b]prisma[/b] pode ser classificado em [b]regular[/b] ou [b]irregular[/b], dependendo da forma de suas bases e da simetria das faces laterais:[br][br][b] Prisma Regular:[/b][br][br][list][*]As [b]bases[/b] são polígonos regulares (todos os lados e ângulos iguais).[/*][*]As [b]faces laterais[/b] são paralelogramos congruentes, geralmente retângulos no caso de prismas retos.[/*][*]Exemplo: [b]prisma triangular regular[/b] (base em triângulo equilátero).[/*][/list][br][b]Prisma Irregular: [br][/b][list][*]As [b]bases[/b] são polígonos irregulares (lados e ângulos diferentes).[/*][*]As [b]faces laterais[/b] não são todas iguais, podendo variar em forma e tamanho.[/*][*]Exemplo: [b]prisma pentagonal irregular[/b] (base em pentágono com lados desiguais).[/*][/list][br]Abaixo, na janela de visualização em 3d, ao manipularmos os sólidos triangulares, podemos reparar essas diferenças.
[b]Áreas do Prisma: [/b][justify][/justify][justify][/justify][list][*]Em um prisma podemos destacar as seguintes superfícies:[/*][/list][list][*]Superfície lateral (A[math]\ell[/math]): corresponde à reunião das faces laterais do prisma, sua[br]área é chamada de área lateral. São determinadas pelas áreas dos retângulos ou[br]paralelogramos.[/*][/list][list][*]Área da base (A[math]\flat[/math]): corresponde à área do polígono que compõe cada base do[br]prisma.[br]Superfície total (A[math]\top[/math]): corresponde à reunião da superfície lateral e das bases do[br]prisma.[br]Portanto,[/*][/list] A[math]\top[/math]= 2.A[math]\flat[/math]+A[math]\ell[/math][list][*][b][/b][justify][b]Volume do Prisma: [/b] Considere um bloco retangular que apresente medidas iguais a 5 uc, 3 uc e 4 uc (ucsignifica unidade de comprimento). Definimos como unidade de volume, um cubo de aresta com medida igual a 1 uc. Podemos considerar 1 cm, 1 m, 1km etc., tudo depende da medida mais adequada, para determinada situação.[/justify][/*][/list] 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[/img][justify][/justify][list][*][b][/b][justify][b]No nosso bloco retangular conseguimos alocar um total de 60 unidades de volume: [/b]5 unidades no sentido do comprimento, 3 unidades no sentido da largura e 4 unidades no sentido da altura. Observe que essas quantidades coincidem exatamente com as medidas das arestas do bloco retangular. Multiplicando essas quantidades obtemos 60. Então podemos dizer que o volume do bloco retangular de medidas de comprimento a, largura b e altura h, é igual a [/justify][/*][/list] [br] [img]data:image/png;base64,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[/img][br][br][br]O processo acima nos mostra como determinar o volume de um tipo de prisma, que é o bloco retangular.[br][br][justify][/justify][justify]Mas, a questão é: como determinar o volume de um prisma qualquer? A busca por essa resposta nos leva ao ano de 1635, ao encontro do matemático italiano Bonaventura Cavalieri, e o que conhecemos hoje por Princípio de Cavalieri. Intuitivamente, podemos pensar da seguinte forma: suponha que você tenha uma pilha de chapas retangulares, que pode ser uma pilha de livros ou uma pilha de folhas, todas de mesmas dimensões, portanto, apresentam o mesmo volume. A partir dessas pilhas, podemos representar alguns sólidos, como mostrados na figura abaixo:[/justify][br] [img]data:image/png;base64,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[/img][br][br][br][justify]Nos três casos, o espaço ocupado pela pilha é o mesmo, ou seja, os três sólido possuem o mesmo volume, apesar de suas diferentes disposições e, consequentemente, formas distintas. Isso pode ser explicado pelo Princípio de Cavalieri, que afirma o seguinte: Dois sólidos de mesma altura, apoiados sobre um plano α, têm volumes iguais se todo plano paralelo a α intersectar os sólidos, determinando regiões de[br]áreas iguais.[br][/justify][br][b][left]Mas como isso nos ajuda a determinar o volume de um prisma qualquer?[/left][/b]Considere um paralelepípedo reto-retângulo e um prisma qualquer, ambos de mesma altura e bases com mesma medida de área. Qualquer corte paralelo à base determina, nos dois prismas, duas regiões de mesma área. Portanto, os volumes dos dois prismas são iguais. [justify][/justify] 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[/img][br]Assim, para calcular o volume de um prisma, basta fazer o produto entre a área de sua base e sua altura:[br][br] [img]data:image/png;base64,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[/img]
Já vimos anteriormente como calcular a áreas e volumes de um prisma reto retângulo, e agora em um prisma regular, no qual a base é um triângulo equilátero, com lado medindo 3 m e sua altura medindo 6 m, podemos calcular sua área total da seguinte maneira.
[justify]Dado que sua base é um triângulo equilátero com o lado medindo 3 m, sabemos que o seu perímetro mede 3x3=9 e dado que a altura do prisma é 6 m, logo, a área lateral mede:[br][br][math]Al=9.6=54m^2[/math][br][br]Para calcular a área de um triângulo equilátero, lembre-se de usar a fórmula: [math]\frac{At=l^2.\sqrt{3}}{4}[/math][br]Assim, área da base mede: [math]Ab=\frac{3^2.\sqrt{3}}{4}\Longrightarrow Ab=\frac{9.\sqrt{3}}{4}m^2[/math][br][br]Sabendo a área lateral e a área da base, vamos calcular a área total do prisma: [math]At=Al+2.Ab=54+2\frac{9\sqrt{3}}{4}\Longrightarrow At=54+\frac{9\sqrt{3}}{2}m^2[/math][br][br]Agora que sabemos como calcular suas áreas, podemos encontrar o volume desse prisma usando a fórmula que já aprendemos anteriormente. [math]V=Ab.h[/math][/justify]
Para calcular a área da base de um hexágono, utilizamos a seguinte fórmula:[br][br][math]Ah=\frac{6.l^2.\sqrt{3}}{4}[/math][br][br]Sendo 4 cm o lado do hexágono, temos: [math]Ah=\frac{6.4^2.\sqrt{3}}{4}=Ah=\frac{6.16.\sqrt{3}}{4}\Longrightarrow Ah=\frac{6.4\sqrt{3}}{1}=24\sqrt{3}cm^2[/math][br][br][br]Agora que já sabemos o valor da área da base, para encontrar o volume, basta multiplicar pela altura, que é 10 cm. Assim: [math]V=Ab.h^{^{ }}\Longrightarrow V=24.\sqrt{3}cm^2.10=V=240.\sqrt{3}cm^3[/math][br][br]Porém, podemos usar outra fórmula de volume que é: [math]V=\frac{6.l^2.\sqrt{3}.h}{4}[/math]
1. O que caracteriza um prisma?
2. O nome de um prisma depende de:
3. Qual é a fórmula geral do volume de um prisma?
4. Um prisma reto se diferencia de um prisma oblíquo porque:
5. Qual é a área lateral de um prisma?
6. Um prisma triangular possui:
7. Qual é a diferença entre um prisma regular e irregular?
8. Um prisma pentagonal reto possui bases em forma de:
9. O volume de um bloco retangular de dimensões 5 cm, 3 cm e 4 cm é:
10. Um prisma triangular reto tem base em triângulo equilátero de lado 6 cm e altura do prisma de 10 cm.[br][br]Qual é a área lateral desse prisma?
11. Um prisma pentagonal reto tem perímetro da base de 20 cm e altura de 12 cm.[br][br]Qual é a área lateral?
12. Um prisma retangular tem dimensões da base 8 cm × 5 cm e altura 10 cm.[br][br]Qual é a área total?