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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!!!!

Respuesta :

calculista

Answer:

The lateral area of the prism is [tex]84\ 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 of the prism

h is the height of the prism

Find the perimeter of the base

[tex]P=6(3.5)=21\ cm[/tex] ----> is a regular hexagon (6 equal  sides)

we have

[tex]h=4\ cm[/tex]

substitute

[tex]LA=(21)(4)=84\ cm^{2}[/tex]

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