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.
Solution
Para encontrar la altura de un prisma pentagonal, utilizamos la fórmula del volumen de un prisma, que es:
En este caso, conocemos el volumen y el área de la base. Sustituimos los valores dados en la fórmula:
Para encontrar la altura, despejamos la variable "Altura":
Realizamos la división:
Por lo tanto, la altura del prisma pentagonal es 7.9 unidades.
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