[justify][/justify][b][size=150]Querido(a) aluno(a),[br][br][/size][/b][size=150][justify]O livro que você está prestes a explorar terá como base o estudo dos [b]sólidos geométricos[/b] para o Ensino Médio — desde os poliedros até os corpos redondos. Nele, você encontrará conceitos, definições, representações em 3D, exercícios resolvidos e atividades para praticar, além de tutoriais que auxiliarão em seu aprendizado. Essa ferramenta foi desenvolvida com o intuito de tornar o estudo mais dinâmico, interativo e participativo.[/justify][list][*]No capítulo 2 é abordado o conceito e características dos principais poliedros e nos subcapítulos seguintes, abordaremos com mais detalhes cada um desses poliedros (Prisma, Paralelepípedo e Cubo), calculo de área, volume e diagonal, além de exercícios e vídeos aulas. [/*][/list][list][*]No capítulo 3 exploraremos as pirâmides, suas características, e nos subcapítulos, o calculo de área ,volume e tronco com exemplos práticos e fáceis de entender. [/*][/list][list][*]No capítulo 4 em diante, exploraremos o mundo dos corpos redondos e começamos nosso estudo pelos cones, introdução, conceito, calculo de área, volume e calculo do tronco do cone, além de atividades propostas, tutorias e exercícios. [/*][/list][list][*]No capítulo 5 abordaremos o conceito e nos subcapítulos o calculo da área da superfície de um cilindro além do calculo de volume. [/*][/list][list][*]No capítulo 6, é a vez de estudarmos o mundo esférico, principais características, calculo de volume e área, com exemplos práticos, tutorias e exercícios.[/*][/list][list][*]No capítulo 7 iremos colocar em prática tudo o que aprendemos com exercícios proposto.[/*][/list][/size]

[justify][size=100][/size][/justify][size=100]Elementos de um Poliedro:[list][*]Faces: São os polígonos planos que limitam o sólido.[/*][*]Arestas: Resultam da intersecção entre duas faces.[/*][*]Vértices: São os pontos de encontro de três ou mais arestas.[/*][/list]Condição Essencial:Para ser classificada como um poliedro, a forma geométrica não pode possuir faces curvas.Classificação dos Poliedros:Os poliedros são classificados em:[justify][/justify][list][*]Convexos ou Não Convexos.[/*][*]Regulares (quando todas as faces e ângulos são iguais) ou Irregulares.[/*][/list][/size]

[br][justify][br]Os sólidos de Platão são os cinco poliedros regulares convexos que possuem faces formadas por polígonos regulares idênticos, arestas de mesmo comprimento e ângulos iguais. Eles são considerados “sólidos perfeitos” porque cada vértice conecta o mesmo número de faces e arestas.[br][/justify][list][*][b]Tetraedro[/b]: 4 vértices, 4 faces triangulares, 6 arestas.[br][/*][/list][list][*][b]Hexaedro (cubo)[/b]: 8 vértices, 6 faces quadradas, 12 arestas.[br][/*][/list][list][*][b]Octaedro[/b]: 6 vértices, 8 faces triangulares, 12 arestas.[br][/*][/list][list][*][b]Dodecaedro[/b]: 20 vértices, 12 faces pentagonais, 30 arestas.[br][/*][/list][list][*][b]Icosaedro[/b]: 12 vértices, 20 faces triangulares, 30 arestas.[br][/*][/list]

[b]Poliedros Irregulares:[br][/b][justify][br]São sólidos cujas faces são polígonos diferentes entre si, sem a simetria perfeita dos sólidos de Platão. Eles variam em forma e número de faces, sendo classificados conforme os tipos de polígonos que os compõem[/justify][b][br]Os poliedros irregulares mais conhecidos são:[br][br][/b][list][*][b]Tetraedro irregular[/b]: 4 faces distintas.[br][/*][/list][list][*][b]Tetraedro triretangular[/b]: 3 triângulos retângulos que compartilham o mesmo vértice.[br][/*][/list][list][*][b]Tetraedro isofacial[/b]: base em triângulo retângulo + 3 triângulos isósceles iguais.[br][/*][/list][list][*][b]Pentaedro[/b]: 5 faces irregulares.[br][/*][/list][list][*][b]Hexaedro[/b]: 6 faces diferentes.[br][/*][/list][list][*][b]Heptaedro[/b]: 7 faces irregulares.[br][/*][/list][list][*][b]Octaedro[/b]: 8 faces distintas.[/*][/list][*][br][/*]

[size=100][justify]Os [b]poliedros[/b] podem ser classificados em [b]convexos[/b] e [b]não convexos[/b].[br][br][/justify][list][*][b]Convexos[/b]: qualquer segmento de reta entre dois pontos internos permanece totalmente dentro do sólido. Exemplos: [b]cubo (verde)[/b], [b]tetraedro (vermelho)[/b] e [b]icosaedro (roxo)[/b].[br][/*][/list][list][*][b]Não convexos[/b]: existem segmentos que atravessam o poliedro sem ficarem totalmente contidos em seu interior. Exemplos: os poliedros [b]laranja, rosa e verde claro[/b] citados.[/*][/list][/size]Ou seja poliedros convexos mantêm toda a reta dentro de si, enquanto os não convexos deixam parte do segmento fora, quebrando essa regularidade.

[justify]Existe uma relação importante que envolve o número de faces [math](F)[/math], o número de arestas [math](A)[/math] e o número de vértices [math](V)[/math] de um poliedro convexo. Essa relação é válida para todo poliedro convexo e recebe o nome de relação de Euler, em homenagem ao matemático suíço Leonhard Euler (1707-1783). [/justify][math]V-A+F=2[/math]

[justify]A relação de Euler pode ser empregada para determinar o número de um dos elementos (faces, arestas ou vértices) de um poliedro convexo, desde que os outros dois sejam conhecidos. Um poliedro em que é válida a relação de Euler é conhecido como [b]poliedro euleriano[/b]. Os poliedros convexos são todos eulerianos. Sendo assim, em todo poliedro convexo vale a relação [math]V-A+F=2[/math].[/justify]

[justify]Há poliedros não convexos para os quais vale a relação de Euler. Na figura, temos um exemplo.[/justify][math]A=15[/math][br][math]V=10[/math][br][math]F=7[/math][br][br][math]V-A+F\Longrightarrow10-15+7=2[/math]

[justify]Considere um plano α onde está contido um polígono convexo ABC. Defina então um ponto V que não pertença a α. Trace todos os segmentos de retas com uma extremidade no polígono ABC e a outra no ponto V. A reunião de todos esses segmentos é denominada pirâmide.[br][/justify][justify][/justify][br]

[br]Vértices da base: [math]A.B.C[/math][br][br]Vértice da pirâmide: [math]V[/math][br][br]Arestas da bases: [math]AB,AC,BC[/math][br][br]Arestas laterais: [math]AV,BV,CV[/math][br][br]Base:[math]ABC[/math][br][br]Faces laterais [math]ABV,ACV,BCV[/math]

[size=150][size=100][justify]Podemos classificar as pirâmides de acordo com o número de lados do polígono da base. Por exemplo, as [br]pirâmides são: a[br][br]• [b] Triangulares:[/b] quando a base é um triângulo;[br][br]• [b] Quadrangulares:[/b] quando a base é um quadrilátero;[br][br]• [b]Pentagonais:[/b] quando a base é um pentágono, e assim [br]por diante.[/justify][/size][/size]

[size=150][size=100][justify]Em uma pirâmide, se a projeção vertical do vértice cai sobre o centro O da base, que é o centro da circunferência circunscrita ao polígono que forma a base, a pirâmide é classificada como reta. Por outro lado, se essa projeção não coincide com o centro da base, a pirâmide é considerada oblíqua. Uma pirâmide regular é um tipo de pirâmide reta que possui como base um polígono regular.[br][br]Considerando a pirâmide regular de base quadrada representada na figura a seguir, destacamos os seguintes elementos geométricos:[br][br][/justify][list][*][b]Altura da pirâmide:[/b] é a medida do segmento de reta VO, que liga o vértice V ao plano da base, indicada por h;[br] [/*][/list] 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[/img][br][list][*][b]Faces laterais:[/b] são triângulos isósceles congruentes;[br][/*][/list][list][*][b]Arestas laterais: [/b]são congruentes e sua medida é indicada por a;[br][/*][/list][list][*][b]Arestas da base: [/b]são congruentes, compõem o polígono que forma a base, e sua medida é indicada por l;[/*][/list][list][*][b]Apótema da base:[/b] é o apótema do polígono regular da base, ou seja, o segmento OM, e sua medida é indicada por m;[br][/*][/list][list][*][b]Raio da base:[/b] é o raio da circunferência de centro O na qual o polígono da base está inscrito e sua medida é indicada por r;[br][/*][/list][list][*][b]Apótema da pirâmide:[/b] é a altura de cada face lateral (correspondente à altura VM relativa à base de um triângulo isósceles), cuja medida é indicada por g.[br][br][/*][/list][br][img]data:image/png;base64,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[/img]Nas pirâmides regulares, podemos determinar as medidas de todos os seus elementos conhecendo alguns deles. Considere a pirâmide regular representada na figura a seguir e observe os triângulos retângulos VMB, VOM, VOA e OMA.[br][br]Aplicando o teorema de Pitágoras, temos as seguintes relações: *[math]\Delta[/math]VMB *[math]\Delta[/math]VOM *[math]\Delta[/math]VOA[br][br][br][/size][/size][img]data:image/png;base64,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[/img]

[list][*]Para encontrarmos o apótema da base de uma pirâmide, devemos nos lembrar que o apótema de um polígono regular é o segmento de reta que parte do seu centro e vai até um de seus lados de forma perpendicular.[/*][/list][list][*]Cada polígono regular possui uma fórmula específica para o cálculo do apótema, e os principais são o triângulo equilátero, o quadrado e o hexágono.[br][/*][/list][list][*]O apótema do triângulo equilátero é igual a um terço da altura do triângulo e é calculado por:[br][/*][/list][math]aTrîangulo=\frac{l2\sqrt{6}}{2}[/math][br][br][list][*]O apótema do quadrado é igual à metade da medida do seu lado, logo o apótema do quadrado é calculado por:[br][/*][/list][math]aQuadrado=\frac{l}{2}[/math][br][br][list][*]O apótema do hexágono regular é calculado pela fórmula:[br][/*][/list][math]aHexagono=\frac{l\sqrt{3}}{2}[/math][br] [br]O apótema de uma pirâmide é o segmento que liga o vértice da pirâmide até o lado da base da pirâmide de forma perpendicular.[list][*]Para calcular o apótema de uma pirâmide, utilizamos o teorema de Pitágoras. Sendo [i]x[/i] o apótema da base da pirâmide e [i]h[/i] a sua altura, o apótema da pirâmide é calculado por:[br][/*][/list] [math]a^2=h^2+x^2[/math]

[br][justify]A intersecção de uma pirâmide com um plano paralelo à sua base é denominada secção transversal da pirâmide. É possível provar que a secção transversal de uma pirâmide é um polígono semelhante ao polígono da base.[br][br][br][img]data:image/png;base64,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[/img][/justify]

[justify]No Capítulo anterior, estudamos os sólidos geométricos chamados de poliedros. Neste Capítulo e nos próximos, iremos estudar os sólidos geométricos que têm pelo menos uma parte de sua superfície curva, denominados corpos redondos: cilindro, cone e esfera. Diversos objetos que utilizamos no dia a dia apresentam formas arredondadas, como copos, panelas, entre outros. Na arquitetura, também observamos formas arredondadas, como nas construções. Na indústria, os tanques de gás natural têm o formato esférico, modelo mais recomendado para esse tipo de produto.[/justify]

[justify]Chamamos de cone um sólido geométrico, também conhecido como um corpo redondo ou sólido de revolução, que possui a base circular e é construído a partir da rotação de um triângulo.[br][br]Dado um plano [math]\alpha[/math], um círculo [math]C[/math] contido em [math]\alpha[/math] e um ponto [math]V[/math] que não pertence a [math]\alpha[/math], a figura geométrica formada pela reunião de todos os segmentos de reta que têm uma extremidade no ponto [math]V[/math] e a outra em um ponto do círculo [math]C[/math] é denominada [b]cone circular[/b] ou, simplesmente, [b]cone.[/b][/justify]

Considerando o cone representado na figura a seguir, destacamos os seguintes elementos:

[justify][b][size=150]Base:[/size][/b] é o círculo[math]C[/math] de raio[math]r[/math]e centro [math]O[/math] situado no plano [math]\alpha[/math];[br][size=150][b][br]Eixo: [/b][/size]é a reta [math]OV[/math];[br][br][b][size=150]Vértice: [/size][/b]é o ponto [math]V[/math];[br][br][b][size=150]Raio da base: [/size][/b]é o raio do círculo [math]C[/math];[br][br][b][size=150]Altura:[/size][/b] é a distância do ponto[math]V[/math] ao plano da base, e indicaremos sua medida por [math]h[/math];[br][br][size=150][b]Geratriz: [/b][/size]é qualquer segmento de reta cujos extremos são o vértice [math]V[/math] e um ponto qualquer da circunferência da base, e indicaremos sua medida por [math]g[/math].[br][br]De acordo com a inclinação do eixo do cone em relação ao plano da base, um cone pode ser oblíquo ou reto. Um cone é oblíquo quando seu eixo é oblíquo ao plano da base e é reto quando seu eixo é perpendicular ao plano da base.[/justify]

[justify]Um cone circular reto também pode ser obtido pela rotação completa de um triângulo retângulo em torno do eixo de um dos catetos. Assim, o cone reto também é denominado cone de revolução.[/justify]

[justify]A secção obtida pela intersecção de um cone com um plano que contém seu eixo é denominada secção meridiana do cone. No cone circular reto, a secção meridiana é um triângulo isósceles de base 2r e lados congruentes medindo g.[/justify]

[justify]Quando a secção meridiana for um triângulo equilátero, ou seja, [math]g=2r[/math], o cone é chamado de cone equilátero.[/justify]

[justify]Dados dois planos paralelos [math]\alpha[/math] e [math]\beta[/math], um círculo C de centro O e raio r contido em a e uma reta t secante aos planos [math]\alpha[/math]e [math]\beta[/math]que não intersecta C, a figura geométrica formada pela reunião de todos os segmentos de reta paralelos à reta t, com uma extremidade em um ponto do círculo C e a outra no plano [math]\beta[/math], é denominada [b]cilindro circular[/b] ou simplesmente[b] cilindro.[/b][/justify]

[justify]Considerando o cilindro representado na figura a seguir, destacamos os seguintes elementos:[br][br][br][b]• bases: [/b]são os círculos de raio r e centros O e O’ situados nos planos paralelos [math]\alpha[/math] e [math]\beta[/math], respectivamente;[br][br][b]• raio da base:[/b] é o raio do círculo C;[br][br][b]• altura:[/b] é a distância entre os planos paralelos [math]\alpha[/math] e [math]\beta[/math], cuja medida indicaremos por [math]h[/math];[br][br][b]• eixo: [/b]é a reta OO’ que contém os centros das bases;[br][br][b]• geratrizes: [/b]são os segmentos de reta paralelos ao eixo e cujas extremidades são pontos das [br]circunferências das bases, cuja medida indicaremos por g.[/justify]

[justify]De acordo com a inclinação das geratrizes em relação aos planos das bases, os cilindros podem ser oblíquos ou retos.[/justify]

[justify]Um cilindro é oblíquo quando as geratrizes são oblíquas aos planos das bases e é reto quando as geratrizes são perpendiculares aos planos das bases. Um cilindro é oblíquo quando as geratrizes são oblíquas aos planos das bases e é reto quando as geratrizes são perpendiculares aos planos das bases. [br][br]Um cilindro reto também pode ser obtido pela rotação completa de um retângulo de lados de medidas r e g em torno do eixo OO’. Assim, o cilindro reto também é denominado cilindro de revolução.[/justify]

[justify]A secção obtida pela intersecção de um cilindro com um plano paralelo às suas bases é denominada [b]secção transversal do cilindro[/b].[/justify]

[justify]A secção obtida pela intersecção de um cilindro com um plano que contém seu eixo é denominada [b]secção meridiana do cilindro[/b]. A secção meridiana de um cilindro reto é um retângulo de dimensões 2r (medida do diâmetro das bases do cilindro) e h (medida da altura do cilindro).[/justify]

[justify]Se a medida da altura do cilindro for igual à medida do diâmetro da base, ou seja, h = 2r, então a secção meridiana é um quadrado e o cilindro é chamado de cilindro equilátero.[/justify]

[justify][size=100]Vamos considerar um ponto [math]O[/math] e um número real [math]r[/math] positivo como indicado na figura. O conjunto de todos os pontos [math]P[/math] do espaço, cuja distância ao ponto [math]O[/math] é igual a [math]r[/math], é denominado [b]superfície esférica[/b] de centro [math]O[/math] e raio [math]r[/math]. O sólido limitado por uma superfície esférica chama-se[b] esfera.[/b] Dessa maneira, a esfera de centro [math]O[/math] e raio [math]r[/math] é o conjunto dos pontos do espaço cuja distância ao ponto [math]O[/math] é menor ou igual a [math]r[/math]. De modo bastante simples, podemos dizer que a superfície esférica é a "casca", enquanto a esfera é a reunião da "casca" com o "miolo". [br]As denominações [b]centro[/b] e [b]raio[/b] são aplicadas indiferentemente a uma superfície esférica ou à esfera por ela limitada.[/size][/justify]

[b]Dada uma esfera, destacamos os seguintes elementos:[br][br][/b][br][justify][br][b]• Eixo:[/b] é qualquer reta que contém o centro da esfera, e indicamos por [math]e[/math];[br][br][b]• Polos: [/b]são os pontos de intersecção da superfície esférica com o eixo e, e indicamos por [math]P1[/math] e [math]P2[/math];[br][br][b]• Equador: [/b]é a circunferência de uma secção obtida por um plano perpendicular ao eixo [math]e[/math] e que passa pelo centro da esfera;[br][b][br]• paralelo:[/b] é a circunferência de uma secção obtida por um plano perpendicular ao eixo [math]e[/math]. É, portanto, paralelo ao equador;[br][br][b]• meridiano:[/b] é a circunferência de uma secção obtida por um plano que contém o eixo [math]e[/math].[/justify][br]

[justify]Os círculos obtidos pela intersecção da esfera com um plano que passa pelo centro [math]O[/math] são chamados [b]círculos máximos[/b]. Fixado um eixo e, o equador é um particular círculo máximo que divide a esfera em duas partes iguais chamadas de[b] hemisférios[/b].[/justify]

[justify]A esfera também pode ser obtida pela rotação completa de um semicírculo em torno de um eixo que contém seu diâmetro. Por isso, o eixo [math]e[/math] também é chamado de [b]eixo de rotação[/b].[/justify]

[b]4-(Unifesp-SP) Considere o poliedro cujos vértices são os pontos médios das arestas de um cubo.[/b]

[justify][b]6-A diagonal de um paralelepípedo reto retângulo mede 13 dm, e a diagonal da base, 5 dm. [/b][/justify]

[b]7-Um prisma pentagonal regular tem 20 cm de altura. A aresta da base do prisma mede 4 cm. [/b]

[b]8-Um prisma reto tem por base um triângulo isósceles com medidas indicadas na figura.[/b]

[justify][b]9- Veja o tijolo com a forma de um paralelepípedo com dimensões de:[/b][/justify][br]

[justify][b]10(UEPB) Um reservatório em forma de cubo, cuja diagonal mede [math]2\sqrt{3}m[/math], tem capacidade igual a:[/b][/justify]

[b]11-Uma barra de chocolate tem o formato da figura a seguir. [/b]

[justify][b]12-Considere a pirâmide quadrangular regular indicada na figura e determine o que se pede.[/b][/justify]

[b][justify]13-Considere a pirâmide hexagonal regular indicada na figura e determine o que se pede.[/justify][/b]

[justify][b]14-(UEG-GO) Em uma festa, um garçom, para servir refrigerante, utilizou uma jarra no formato de um cilindro circular reto. Durante o seu trabalho, percebeu que com a jarra completamente cheia conseguia encher oito copos de 300 [math]mL[/math] cada. Considerando-se que a altura da jarra é de 30 [math]cm[/math], então a área interna da base dessa jarra, em [math]cm^2[/math], é:[/b][/justify]

[b][br]Querido(a) aluno(a),[/b] [br][size=150][justify][b]Chegamos ao final de nosso estudo sobre os sólidos geométricos.[/b] [br][br]Ao longo desta jornada, exploramos suas características e compreendemos como, por meio de deduções e equivalências, surgem as fórmulas que nos permitem calcular volume e área de cada objeto. Esse aprendizado foi enriquecido por uma abordagem lúdica e contextualizada: ao construir sólidos em três dimensões, tornou-se possível visualizar e manipular os conceitos de forma prática e palpável, facilitando a compreensão.[br][br]Essa experiência permitiu investigar os resultados dos exercícios de maneira visual e manual. Visual, porque a representação em 3D amplia a percepção do objeto estudado; manual, porque o livro interativo possibilita manipular o poliedro, contar arestas, vértices e faces, além de analisar suas características de forma concreta.[br][br]O estudo da geometria espacial revela-se de grande importância, mas infelizmente ainda não ocupa o espaço que deveria no cenário educacional. A matemática, especialmente a geometria, necessita de uma nova abordagem — mais envolvente, investigativa e profunda — capaz de despertar o interesse e o pensamento crítico dos estudantes.[br][br]Espero ter contribuído para o seu aprendizado e que você continue buscando novos conhecimentos e novas formas de aprender. Afinal, o conhecimento é contínuo e transformador. Parafraseando Paulo Freire: [i]“A educação não muda o mundo. A educação muda as pessoas, pessoas educadas, alfabetizadas e com um conhecimento crítico e solido, transforma o mundo´´.[/i][/justify][/size][br]

[justify][/justify][justify][b][/b][/justify][justify][br]APROVA TOTAL. Prismas: classificação, fórmulas e exercícios resolvidos. Disponível em: <https://aprovatotal.com.br/prisma/>. Acesso em: 20 mar. 2026.[br][br]BONJORNO, José Roberto; GIOVANNI JÚNIOR, José Ruy; CÂMARA DE SOUSA, Paulo Roberto. Prisma matemática: geometria: ensino médio: área do conhecimento: matemática e suas tecnologias. 1. ed. São Paulo: Editora FTD, 2020.[br][br]BRASIL ESCOLA. Exercícios sobre esfera. Publicado por Raul Rodrigues de Oliveira. Disponível em: https://brasilescola.uol.com.br/exercicios/exercicios-sobre-esfera.htm (brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]BRASIL ESCOLA. Exercícios sobre paralelepípedo. Disponível em: https://exercicios.brasilescola.uol.com.br/matematica/exercicios-sobre-paralelepipedo.htm (exercicios.brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______.. Exercícios sobre tronco de pirâmide. Disponível em: https://exercicios.brasilescola.uol.com.br/matematica/exercicios-tronco-piramide.htm (exercicios.brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Exercícios sobre volume de pirâmide. Disponível em: https://exercicios.brasilescola.uol.com.br/matematica/exercicios-volume-piramide.htm (exercicios.brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Paralelepípedo: elementos, área, volume, diagonal. Disponível em: https://brasilescola.uol.com.br/matematica/paralelepipedo.htm (brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Tronco de cone: o que é, elementos, fórmulas. Disponível em: https://brasilescola.uol.com.br/matematica/tronco-cone.htm (brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Tronco de pirâmide: elementos, área e volume. Disponível em: https://brasilescola.uol.com.br/matematica/tronco-piramide.htm (brasilescola.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Área do cone: fórmula e exercício resolvido. Disponível em: https://www.matematicabasica.net/area-cone-formula-exercicio/ (matematicabasica.net in Bing). Acesso em: 20 mar. 2026.[br][br]MATEMÁTICA BÁSICA. Cubo: elementos, área e volume. Disponível em: [url=https://www.matematicabasica.net/cubo-elementos-area-volume/][u]https://www.matematicabasica.net/cubo-elementos-area-volume/[/u][/url] (matematicabasica.net in Bing). Acesso em: 20 mar. 2026.[br]_______. Pirâmide: definição, tipos, área e volume. Disponível em: https://www.matematicabasica.net/piramide-definicao-tipos-area-volume/ (matematicabasica.net in Bing). Acesso em: 20 mar. 2026.[br][br]MUNDO EDUCAÇÃO. Apótema: o que é, fórmulas, como calcular. Disponível em: https://mundoeducacao.uol.com.br/matematica/apotema.htm (mundoeducacao.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Cubo: elementos, fórmulas, exercícios. Disponível em: https://mundoeducacao.uol.com.br/matematica/cubo.htm (mundoeducacao.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Lista de exercícios sobre pirâmide. Disponível em: https://mundoeducacao.uol.com.br/matematica/exercicios-piramide.htm (mundoeducacao.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Tronco de pirâmide: propriedades, fórmulas e proporções. Disponível em: https://mundoeducacao.uol.com.br/matematica/tronco-piramide.htm (mundoeducacao.uol.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]TODA MATÉRIA. Pirâmide. Disponível em: https://www.todamateria.com.br/piramide/ (todamateria.com.br in Bing). Acesso em: 20 mar. 2026.[br][br]_______. Prisma: elementos, classificação, fórmulas e exercícios. Disponível em: https://www.todamateria.com.br/prisma/ (todamateria.com.br in Bing). Acesso em: 20 mar. 2026.[/justify]