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The pentagonal prism below has a base area of 26 unitssquared 2 and a height of 3.9 units. Find its volume.

Question

The pentagonal prism below has a base area of 26 unitssquared 2 and a height of 3.9 units. Find its volume.

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Solution

Para encontrar el volumen de un prisma pentagonal, se utiliza la fórmula:

Volumen=Aˊrea de la base×Altura \text{Volumen} = \text{Área de la base} \times \text{Altura}

Dado que el área de la base es de 26 unidades cuadradas y la altura es de 3.9 unidades, sustituimos estos valores en la fórmula:

Volumen=26unidades2×3.9unidades \text{Volumen} = 26 \, \text{unidades}^2 \times 3.9 \, \text{unidades}

Ahora, realizamos la multiplicación:

Volumen=26×3.9 \text{Volumen} = 26 \times 3.9

Volumen=101.4unidades3 \text{Volumen} = 101.4 \, \text{unidades}^3

Por lo tanto, el volumen del prisma pentagonal es de 101.4 unidades cúbicas.

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