1. What is the Total Surface Area of Square Pyramid?

The Total Surface Area of a Square Pyramid is the sum of the area of its square base and the areas of its four triangular faces. It represents the total two-dimensional space occupied by all the faces of the pyramid.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area of Square Pyramid (m²)
• \( l_e(Base) \) — Edge Length of Base of Square Pyramid (m)
• \( h \) — Height of Square Pyramid (m)

Explanation: The formula calculates the base area plus the lateral surface area, where the lateral area is derived from the slant height of the triangular faces.

3. Importance of Surface Area Calculation

Details: Calculating the total surface area is essential for various practical applications such as determining the amount of material needed for construction, painting, or coating the pyramid-shaped structure.

4. Using the Calculator

Tips: Enter the edge length of the base and the height of the pyramid in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses meters for both edge length and height. Ensure consistent units for accurate results.

Q2: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q3: What is the difference between lateral surface area and total surface area?
A: Lateral surface area includes only the triangular faces, while total surface area includes both the base and the triangular faces.

Q4: Is the formula applicable to all square pyramids?
A: Yes, this formula works for any right square pyramid where the apex is directly above the center of the base.

Q5: How accurate is the calculated result?
A: The result is accurate to six decimal places, providing precision for most practical applications.