The base of a right pyramid is a regular hexagon with sides of length 12 m. The altitude is 6 m. Find the total surface area of the pyramid.

806.12 m

Step-by-step explanation:

Step 1: Write the data

Side (s) = 12

Altitude (h) = 6

Step 2: Write the formula for surface area of right hexagonal pyramid

Area = 3√3/2*s² + 3*s*√ (h²+3s²/4)

Step 3: Substitute values of 's' and 'h'

Area = 3√3/2 * (12) ² + 3 * (12) * √[6²+3 (12) ²/4]

Area = 806.12 m

Therefore, the total surface area of the pyramid is 806.12 m.

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