Answer:
![V=502.5\ cm^3](https://img.qammunity.org/2022/formulas/mathematics/high-school/51drwahsdlmby3mf7f4hiiy46cl7l3815l.png)
Explanation:
The area of the pentagonal base, A = 33.5 cm²
The height of the prsim,h = 15 cm
We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :
![V=A* h\\\\V=33.5* 15\\\\V=502.5\ cm^3](https://img.qammunity.org/2022/formulas/mathematics/high-school/8jn5xnoxwe5vzoesnavbxrtfu0a4uke70u.png)
So, the required volume is
.