Answer:
Option C is correct
the lateral area of the pyramid is, 72 sq. units
Step-by-step explanation:
Lateral surface area(S) of the pyramid is given by:
\(S = 6 \cdot \frac{1}{2}(\text{Base} \cdot \text{Slant height})\)
As per the statement:
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.
⇒\(s = 4\) units, slant height = 6 units
Substitute in [1] we have;
\(S = 6 \cdot \frac{1}{2} \cdot 4 \cdot 6 = 72\) square units
Therefore, the lateral area of the pyramid is, 72 sq. units
