Respuesta :

Answer:

The height of the pentagonal prism is 9.7 units

Explanation:

Given:

The base of a pentagonal prism = 38 units²

The volume of the pentagonal prism = 368.6 units³

To find:

The height of the pentagonal prism

To determine the height, we will apply the volume of a pentagonal prism:

[tex]Volume\text{ = Base area }\times\text{ height}[/tex][tex]\begin{gathered} 368.6\text{ = 38 }\times\text{ height} \\ height\text{ = }\frac{368.6}{38} \\ \\ height\text{ = 9.7 units} \end{gathered}[/tex]