Answer:
[tex]V=502.5\ cm^3[/tex]
Step-by-step 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 :
[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]
So, the required volume is [tex]502.5\ cm^3[/tex].