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

Answer:

The lateral area of the prism is $84\ cm^{2}$

Step-by-step 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

$LA=(21)(4)=84\ cm^{2}$