Given:
Base area = 5.16 cm²
height = 9cm
To find:
the volume of a pentagonal prism
To determine the volume, we will apply the formula:
[tex]\begin{gathered} Area\text{ of a pentagonal prism = Base area }\times height \\ \end{gathered}[/tex][tex]\begin{gathered} Area\text{ of the pentagonal prism = 5.16 }\times9 \\ \\ Area\text{ of pentagonal prism = 46.44 cm}^3\text{ \lparen option A\rparen} \end{gathered}[/tex]