Question

Find the lateral area of the regular prism with height h, if the base of the prism is: d Regular pentagon with the side 6 cm and h=15 cm

Answer 1

450 cm^2

Explanation:

Answer 2

The lateral area of the regular prism is
`450\ cm^(2)`

Explanation:

we know that

The lateral area of the regular prism is equal to

`LA=Ph`

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter of base P

`P=5(6)=30\ cm` -----> the regular pentagon has 5 equal sides

we have

`h=15\ cm`

substitute in the formula

`LA=30(15)=450\ cm^(2)`