Answer:
<h3>The lateral area of the pyramid is 180 unit².</h3>
Step-by-step explanation:
We are given a hexagonal pyramid with dimensions,
Base (B)= 6 units and Height (H) = 8 units
Now, the lateral area of the pyramid =
, where P = perimeter of the base and L = slant height.
Since, the base of the pyramid is a hexagon.
So, the perimeter of an hexagon =
= 6 × 6 = 36 units
Also, the slant height is given by,

Since, the slant height cannot be negative. So, L = 10 units.
Substituting the values gives,
The lateral area of the pyramid = 
<h3>Thus, the lateral area of the pyramid is 180 unit².</h3>