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The Total Surface Area of an Elongated Square Bipyramid is the sum of the areas of all its faces. This geometric solid consists of a square prism with two square pyramids attached to its opposite ends.
The calculator uses the formula:
Where:
Explanation: This formula calculates the total surface area based on the height of the elongated square bipyramid, incorporating the mathematical constants √2 and √3.
Details: Calculating the total surface area is important in geometry, architecture, and materials science for determining material requirements, heat transfer properties, and structural characteristics of this specific polyhedral shape.
Tips: Enter the height of the elongated square bipyramid in meters. The height must be a positive value greater than zero.
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, creating a symmetrical geometric solid.
Q2: How many faces does an elongated square bipyramid have?
A: An elongated square bipyramid has 16 faces: 8 triangular faces from the pyramids and 8 square faces from the prism.
Q3: What are practical applications of this shape?
A: This geometric shape appears in crystallography, architectural design, and as the basis for certain molecular structures in chemistry.
Q4: How accurate is this formula?
A: The formula is mathematically exact for a perfect elongated square bipyramid, assuming all edges are equal and faces are perfectly flat.
Q5: Can this calculator handle different units?
A: The calculator assumes meters as input, but you can convert from other units by providing the equivalent value in meters.