Answer:
Lateral Surface Area = 168
Total Surface Area = 209.57
Step-by-step explanation:
Given:
There is a regular hexagonal prism with
Height, h = 7 cm
Base edge length, a = 4 cm
To find:
Lateral surface area and total surface area = ?
Solution:
Formula for lateral surface area is given as:
Perimeter of a hexagon is given as:
Now, LSA = 24 7 = 168
Total Surface area of prism is given by the formula:
where B is the area of base.
Base is a regular hexagon, formula for area of a regular hexagon is given by:
So, Total Surface Area = 168 + 41.57 = 209.57
So, answer is :
<em>Lateral Surface Area = 168 </em><em></em>
<em>Total Surface Area = 209.57 </em><em></em>
<em></em>