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If the expressions, (x + 6), (2x + 1), and (5x), each represent the measurement of a different edge length of a rectangular prism, what does the product of the three expressions represent?Responsesthe volume of the rectangular prismthe volume of the rectangular prismthe area of a base of the rectangular prismthe area of a base of the rectangular prismthe surface area of the rectangular prismthe surface area of the rectangular prismthe sum of the lengths of all twelve edges of the rectangular prism

Question

If the expressions, (x + 6), (2x + 1), and (5x), each represent the measurement of a different edge length of a rectangular prism, what does the product of the three expressions represent?Responsesthe volume of the rectangular prismthe volume of the rectangular prismthe area of a base of the rectangular prismthe area of a base of the rectangular prismthe surface area of the rectangular prismthe surface area of the rectangular prismthe sum of the lengths of all twelve edges of the rectangular prism

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Solution

Para resolver esta pregunta, sigamos los siguientes pasos:

  1. Identifiquemos las expresiones dadas:

    • (x + 6)
    • (2x + 1)
    • (5x)
  2. Recordemos que un prisma rectangular tiene tres dimensiones: largo, ancho y alto. Las expresiones dadas representan las longitudes de estas tres dimensiones.

  3. La fórmula para calcular el volumen de un prisma rectangular es: Volumen=largo×ancho×alto \text{Volumen} = \text{largo} \times \text{ancho} \times \text{alto}

  4. Sustituyamos las expresiones dadas en la fórmula del volumen: Volumen=(x+6)×(2x+1)×(5x) \text{Volumen} = (x + 6) \times (2x + 1) \times (5x)

  5. El producto de las tres expresiones representa el volumen del prisma rectangular.

Por lo tanto, la respuesta correcta es:

  • el volumen del prisma rectangular

This problem has been solved

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