Área de Pirâmides.

Conceito de áreas
[b][size=150][size=100][br]Em uma pirâmide podemos destacar as seguintes áreas:[br][br][/size][/size][/b][justify][br][b]Superfície lateral ([math]Al[/math]): [/b]Corresponde à reunião das faces laterais da pirâmide. A sua área é chamada de área lateral, que é determinada pelas áreas dos triângulos que formam as faces laterais.[br][br][br][size=150][size=100][b]Área da base ([/b][math]Ab[/math][b]): [/b]C[/size][/size]orresponde à área do polígono que compõe a base da[br]pirâmide.[br][br][br][b]Superfície total ( [math]At[/math]): [/b]Corresponde à reunião da superfície lateral e da base da pirâmide.[/justify]
Fórmulas das Áreas
[justify][b][br]Área Lateral:[/b] Como a área lateral de uma pirâmide tem um formato triangular, a área lateral é calculada utilizando a fórmula da área do triangulo. A base b de uma lateral é igual ao lado da base e a altura h igual ao apótema lateral da pirâmide.[/justify][br][math]Al=\frac{\left(b.h\right)}{2}[/math][br][br][br]No caso particular da base ser um polígono regular: No caso particular da base ser um polígono regular:[br] [math]Al=n.\frac{\left(b.h\right)}{2}[/math] Em que n é o número de lados da base e multiplica a área dos triângulos laterais.[br][br][br][br][justify][b]Área da Base: [/b]A área da base depende do tipo de pirâmide. Se for triangular, a área da base é calculada usando a fórmula da área do triângulo, se for quadrangular a área da base é calculada pela fórmula da área do paralelogramo, e assim por diante.[/justify][br][br]Exemplo:[br][br]Pirâmide de Base triangular: [math]Ab=\frac{b.h}{2}[/math] [br][br]Pirâmide de Base quadrangular: [math]Ab=l^2[/math][br][br]Pirâmide de Base retangular: [math]Ab=l.c[/math][br][br]Pirâmide de Base hexagonal: [math]Ah=\frac{3l^2\sqrt{3}}{2}[/math] Onde, [math]Ah[/math] é área e [math]l[/math] é a medida do lado hexágono. Dessa forma a área do hexágono só depende da medida do lado.[br][br][justify]Por fim, após acharmos as medidas das áreas laterais e da área da base dessa pirâmide, precisamos apenas somá-las para encontrar a área total [b]([/b][math]At[/math][b]). [/b]Portanto, a[b] [/b]área total é calculada pela seguinte fórmula:[/justify][math]At=Al+Ab[/math][br][b][br]OBS: [/b]As áreas são sempre expressas em medidas quadradas, como cm² e m².[br]
Ainda com dúvidas? abaixo, temos a explicação da Professora Ana Maria | Matemática.
Exercícios
1- Uma pirâmide possui base quadrada, com altura medindo 16 cm e comprimento da aresta da base igual a 24 cm, então o apótema dessa pirâmide é igual a:
2- Analise a pirâmide a seguir:
Sabendo que a sua base é quadrada, então a sua área total é:[br][br]
3-Qual é o número de arestas que uma pirâmide de base hexagonal possui?[br][br]
4-Analise as planificações a seguir:[br][br][img]data:image/png;base64,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[/img]
Essas planificações são, respectivamente, de:[br][br]
5-(Fuvest) Um telhado tem a forma da superfície lateral de uma pirâmide regular, de base quadrada. O lado da base mede 8 m, e a altura da pirâmide, 3 m. As telhas para cobrir esse telhado são vendidas em lotes que cobrem 1 m². Supondo que possa haver 10 lotes de telhas desperdiçadas (quebras e emendas), o número mínimo de lotes de telhas a ser comprado é:[br][br]
6-(UFF) A grande pirâmide de Quéops, antiga construção localizada no Egito, é uma pirâmide regular de base quadrada, com 137 m de altura. Cada face dessa pirâmide é um triângulo isósceles cuja altura relativa à base mede 179 m. A área da base dessa pirâmide, em m², é
Fermer

Information: Área de Pirâmides.