Regular Pyramid Lateral Surface Area Calculator & Formula Analysis

Precision Note: Results rounded to 4 decimal places for educational reference.

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Historical Origins & Formula Derivation

The formula for the lateral surface area of a regular pyramid traces back to ancient geometric studies, with key contributions from Greek mathematicians like Euclid. It is derived from summing the areas of the pyramid's congruent triangular lateral faces.

General Formula: \( LSA = \frac{1}{2} \times P \times l \)
Where: \( P \) = perimeter of the base (\( P = n \times a \)), \( l \) = slant height, \( n \) = number of base sides, \( a \) = base edge length.

Pyramid geometric diagram