To describe:The method to find surface area of a regular polygonal pyramid with n-gone base, height h units, and an apothem of a units.
Answer to Problem 41HP
The method for finding the surface area of the pyramid is explained here that shows the surface area of pyramid of height “ h ” and apothem “ a ” is given by
Explanation of Solution
Given data:
The base of regular polygonal pyramid is n sides
Concept used:
The area of a
Calculations:
The considered polygon has n sides each of length s (say). Then perimeter of the polygon is
The area of a lateral triangle ABZ is
Hence, surface area of the pyramid is
Conclusion:
The method for finding the surface area of the pyramid is explained here that shows the surface area of pyramid of height “ h ” and apothem “ a ” is given by
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