Question

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the lateral area of the pyramid.

Answer 1

72sq. units lllllllllllllllllllllllllllllllllllllllllllllll

Answer 2

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