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>
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<em>Total Surface Area = 209.57 </em>
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