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Find the surface area of the regular hexagonal pyramid. Round your answer to the nearest hundredth.

Find the surface area of the regular hexagonal pyramid. Round your answer to the nearest hundredth. class=

Verified Answer :

nobillionaireNobley

Area of a pyramid = 1/3(area of base x height)
area of base = 6(1/2(4 x 2√3)) = 24√3
height = sqrt(6^2 - (2√3)^2) = sqrt(36 - 12) = sqrt(24)

Area of the pyramid = 1/3(24√3 x √24) = 8√72 = 48√2 square feet.

Answer:

113.56sq.ft.

Step-by-step explanation:

The side of the hexagon is represented by "s" = 4 ft

Apothem (perpendicular drawn from the center to any of side) represented  "a"= 2√3

"l" be the slant height (height of the triangle) of the pyramid= 6 ft.

Formula of total surface area = 3s (l + a)

                                                =34(6+2√3)

                                                =12(6+21.73205080757)

                                                 =12(6+3.46410161514)

                                                 = 12(9.46410161514)

                                                  = 113.569219382

Thus the surface area of the regular hexagonal pyramid = 113.569219382sq.ft.

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