1. What is the Total Surface Area of Elongated Square Bipyramid?

The Total Surface Area of an Elongated Square Bipyramid is the sum of the areas of all its faces. This polyhedron consists of a square prism with two square pyramids attached to its opposite square faces.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area
• \( l_e \) — Edge Length of the elongated square bipyramid
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: The formula calculates the total area by considering all triangular and square faces of the polyhedron.

3. Importance of Surface Area Calculation

Details: Calculating surface area is important in geometry, material science, and engineering applications where surface properties affect material behavior, coating requirements, or heat transfer characteristics.

4. Using the Calculator

Tips: Enter the edge length in meters. The value must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an elongated square bipyramid?
A: An elongated square bipyramid is a polyhedron formed by attaching two square pyramids to opposite faces of a square prism.

Q2: How many faces does an elongated square bipyramid have?
A: It has 12 triangular faces and 4 square faces, totaling 16 faces.

Q3: What units should I use for edge length?
A: The calculator uses meters, but the formula works with any consistent unit system (cm, mm, etc.).

Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to elongated square bipyramids. Other polyhedra have different surface area formulas.

Q5: Why is the square root of 3 in the formula?
A: The √3 term comes from the geometry of equilateral triangles that form the triangular faces of the bipyramid.