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.

A. 144 sq. units
B. 48√(10) sq. units
C. 72 sq. units

Answer 1

72sq. units lllllllllllllllllllllllllllllllllllllllllllllll

Answer 2

Option C is correct

the lateral area of the pyramid is, 72 sq. units

Explanation:

Lateral surface area(S) of the pyramid is given by:

`S = 6 \cdot (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 (1)/(2) \cdot 4 \cdot 6 = 72` square units

Therefore, the lateral area of the pyramid is, 72 sq. units