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Height of Elongated Square Bipyramid Formula:
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The height of an elongated square bipyramid is the vertical distance from the highest point to the lowest point of this polyhedron. An elongated square bipyramid is formed by joining two square pyramids base-to-base with a square prism inserted between them.
The calculator uses the formula:
Where:
Explanation: The formula calculates the total height by considering both the pyramid components and the connecting prism. The factor (√2 + 1) represents the combined contribution from these geometric elements.
Details: Calculating the height of an elongated square bipyramid is important in geometry, architecture, and 3D modeling applications where this specific polyhedral shape is used.
Tips: Enter the edge length of the elongated square bipyramid in meters. The value must be positive and greater than zero.
Q1: What is an elongated square bipyramid?
A: An elongated square bipyramid is a polyhedron formed by joining two square pyramids base-to-base with a square prism inserted between them, creating a symmetrical 3D shape with triangular faces.
Q2: How many faces does an elongated square bipyramid have?
A: An elongated square bipyramid has 16 triangular faces, 8 from each pyramid and 8 from the connecting prism.
Q3: What are the real-world applications of this shape?
A: This geometric shape appears in crystallography, architecture, and molecular structures. It's also used in various design and engineering applications.
Q4: Is the formula applicable to all edge lengths?
A: Yes, the formula works for any positive edge length, as the height scales linearly with the edge length.
Q5: Can this calculator be used for other polyhedra?
A: No, this calculator is specifically designed for elongated square bipyramids. Other polyhedra have different formulas for calculating height.