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The pentagonal prism below has a base area of 42 unitssquared 2 and a volume of 331.8 unitscubed 3 . Find its height.

Question

The pentagonal prism below has a base area of 42 unitssquared 2 and a volume of 331.8 unitscubed 3 . Find its height.

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Solution

Para encontrar la altura de un prisma pentagonal, utilizamos la fórmula del volumen de un prisma, que es:

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

En este caso, conocemos el volumen y el área de la base. Sustituimos los valores dados en la fórmula:

331.8=42×Altura 331.8 = 42 \times \text{Altura}

Para encontrar la altura, despejamos la variable "Altura":

Altura=331.842 \text{Altura} = \frac{331.8}{42}

Realizamos la división:

Altura=7.9 \text{Altura} = 7.9

Por lo tanto, la altura del prisma pentagonal es 7.9 unidades.

This problem has been solved

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