Hexagonal Pyramid Surface Area Calculator

Base Edge (a):

Height (h):

Base Area (BA, cm²): Base Area (BA, m²): Base Area (BA, mm²): Base Area (BA, in²): Base Area (BA, ft²):

Lateral Surface Area (LSA, cm²): Lateral Surface Area (LSA, m²): Lateral Surface Area (LSA, mm²): Lateral Surface Area (LSA, in²): Lateral Surface Area (LSA, ft²):

Total Surface Area (SA, cm²): Total Surface Area (SA, m²): Total Surface Area (SA, mm²): Total Surface Area (SA, in²): Total Surface Area (SA, ft²):

1. What is a Hexagonal Pyramid Surface Area Calculator?

Definition: This calculator computes the total surface area (SA), lateral surface area (LSA), and base area (BA) of a regular hexagonal pyramid using its base edge (a) and height (h).

Purpose: Useful for geometry, architecture, and design applications, such as calculating material needs for constructing or coating a hexagonal pyramid.

2. How Does the Calculator Work?

Formulas:

Base Area (BA): \( BA = \frac{3\sqrt{3}}{2} a^2 \)
Lateral Surface Area (LSA): \( LSA = 3a \sqrt{h^2 + \frac{3a^2}{4}} \)
Total Surface Area (SA): \( SA = BA + LSA = \frac{3\sqrt{3}}{2} a^2 + 3a \sqrt{h^2 + \frac{3a^2}{4}} \)

Explanation: Inputs are converted to meters, and the base area, lateral surface area, and total surface area are calculated. Results are converted to cm², m², mm², in², and ft².

3. Importance of Hexagonal Pyramid Surface Area Calculation

Details: Essential for determining material requirements, such as paint or covering material, and for structural analysis in hexagonal pyramid designs.

4. Using the Calculator

Tips: Enter base edge (a) and height (h) in units (mm, cm, m, in, ft; >0). Results include base area (BA), lateral surface area (LSA), and total surface area (SA) in cm², m², mm², in², and ft².