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Korvikt [17]
3 years ago
8

Un prisma cuadrangular regular tiene 4 m de arista de la base y 6m de altura Calcula el area y el volumen

Mathematics
1 answer:
mario62 [17]3 years ago
7 0

Answer:

El área y volumen del prisma cuadrangular mencionado son respectivamente:

  • <em>Área =</em> 16m^{2}
  • <em>Volumen =</em> 96m^{3}

Step-by-step explanation:

Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:

  • <em>Área de un cuadrado = </em>arista^{2}

Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:

  • Área de un cuadrado = (4m)^{2}
  • Área de un cuadrado = 16m^{2}

Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:

  • <em>Volumen de un prisma cuadrangular = área superficial * altura</em>
  • Volumen de un prisma cuadrangular = 16m^{2} * 6 m
  • Volumen de un prisma cuadrangular = 96m^{3}

Como puedes ver tras los cálculos, <u><em>el área superficial del prisma es de </em></u>16m^{2}<u><em> y su volumen es </em></u>96m^{3}.

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