Find the surface area of the regular hexagonal pyramid. round your answer to the nearest hundredth. a. 69.18 m^2 b. 79.18 m^2 c. 89.18 m^2 d. 99.18 m^2

OPTION B

Step-by-step explanation:

 Use the following formula:

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

Where s is the lenght of a side.

The slant height is given:

The area of the base is:

Where s is the length of a side.

Substitute values. Then, the result is:

The correct answer option is B. 79.18 m^2.

Step-by-step explanation:

We are given a diagram of a regular hexagonal pyramid with height 5.6 m, slant height 6.2 m and base edge length 3m.

We know that the surface area of a regular hexagonal pyramid is given by:

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = = 18 m^2

Base area (area of hexagon) = =   = 23.38 m^2

Surface area of hexagonal pyramid = = 79.18 m^2

24 units

step-by-step explanation: