find the lateral surface area of a regular hexagonal pyramid whose edge measures 20 cm and the radius of a circle inscribed in the base is 9 squareroot of 3 cm.

Luciano Webster

Luciano Webster

Answered question

2022-07-25

Find the lateral surface area of a regular hexagonal pyramid whose edge measures 20 cm and the radius of a circle inscribed in the base is 9 squareroot of 3 cm.

Answer & Explanation

Jaycee Figueroa

Jaycee Figueroa

Beginner2022-07-26Added 10 answers

H = ( e 2 r 2 ) 0.5 = 12.53 since it is regular hexagonal pyramid then central angle  = 600 if it's 60degrees then base edge s is also equal to  9 3 P = n s = 9 3 6 = 54 3 then apothem a = s / ( 2 t a n ( 180 / π ) ) = 9 × 30. 5 0 tan 30 then slant height l = ( h 2 + a 2 ) 0.5 = 18.42

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