Answer:
The lateral area of the regular prism is [tex]450\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of the regular prism is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base
h is the height of the prism
Find the perimeter of base P
[tex]P=5(6)=30\ cm[/tex] -----> the regular pentagon has 5 equal sides
we have
[tex]h=15\ cm[/tex]
substitute in the formula
[tex]LA=30(15)=450\ cm^{2}[/tex]
