Square 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):

Face Area (FA, cm²): Face Area (FA, m²): Face Area (FA, mm²): Face Area (FA, in²): Face Area (FA, 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 Square Pyramid Surface Area Calculator?

Definition: This calculator computes the total surface area (SA), base area (BA), lateral surface area (LSA), and face area (FA) of a square 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 square pyramid.

2. How Does the Calculator Work?

Formulas:

Base Area (BA): \( BA = a^2 \)
Slant Height (l): \( l = \sqrt{h^2 + \left(\frac{a}{2}\right)^2} \)
Face Area (FA): \( FA = \frac{1}{2} \times a \times l \)
Lateral Surface Area (LSA): \( LSA = 4 \times FA \)
Total Surface Area (SA): \( SA = BA + LSA \)

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

3. Importance of Square Pyramid Calculations

Details: Essential for determining material requirements (e.g., paint or covering) and structural analysis in square 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), face area (FA), lateral surface area (LSA), and total surface area (SA) in cm², m², mm², in², and ft².