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2. (UNIRIO) Uma pirâmide está inscrita num cubo, como mostra a figura anterior. Sabendo-se que o volume da pirâmide é de 6 m3, então, o volume do cubo, em m3, é igual a:

A) 9
B) 12
C) 15
D) 18
E) 21
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Matematicamente

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Respostas

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Para resolver essa questão, é importante lembrar que o volume de uma pirâmide é dado pela fórmula V = (1/3) * A_base * altura, onde A_base é a área da base da pirâmide. Neste caso, sabemos que o volume da pirâmide é 6 m³. Como a pirâmide está inscrita no cubo, a base da pirâmide é a base do cubo. Portanto, a área da base da pirâmide é igual à área da base do cubo. Como o volume da pirâmide é 6 m³ e a área da base da pirâmide é igual à área da base do cubo, podemos encontrar a aresta do cubo (lado do cubo) elevando o volume da pirâmide à potência de 2/3 (pois a fórmula do volume do cubo é V = aresta^3). Vamos calcular: 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2/3) = 6^(2

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