Question

Find the lateral area of the regular prism with height h, if the base of the prism is:

Regular hexagon with the side 3.5 cm and h = 4 cm

PLZ HELP!!!!

Answer 1

The lateral area of the prism is
`84\ 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 of the prism

h is the height of the prism

Find the perimeter of the base

`P=6(3.5)=21\ cm` ----> is a regular hexagon (6 equal sides)

we have

`h=4\ cm`

substitute

`LA=(21)(4)=84\ cm^(2)`