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

Question

3 years ago

6

h=15 cm

2 answers:

tangare [24] · Answer 1 · 2022-04-14T13:26:05+03:00

8 0

Answer:

450 cm^2

Step-by-step explanation:

Aloiza [94] · Answer 2 · 2022-04-14T11:18:31+03:00

Answer:

The lateral area of the regular prism is $450\ cm^{2}$

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

h is the height of the prism

<em>Find the perimeter of base P</em>

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

we have

$h=15\ cm$

substitute in the formula

$LA=30(15)=450\ cm^{2}$