A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area. HELP ASAP

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 :

Lateral Surface Area = 168

Total Surface Area = 209.57

the correct answer is the second option