Volume of Antiprism Formula:
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The volume of an antiprism is defined as the quantity of three-dimensional space enclosed by a closed surface of an antiprism. An antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
The calculator uses the antiprism volume formula:
Where:
Explanation: The formula accounts for the geometric properties of antiprisms, using trigonometric functions to calculate the enclosed volume based on the number of vertices and edge length.
Details: Calculating the volume of antiprisms is crucial for geometric analysis, architectural design, and understanding the properties of polyhedral structures in mathematics and engineering.
Tips: Enter the number of vertices (must be ≥3) and the edge length in meters. All values must be valid positive numbers.
Q1: What is the minimum number of vertices for an antiprism?
A: The minimum number of vertices for an antiprism is 3, which forms a triangular antiprism.
Q2: How does the volume change with increasing vertices?
A: As the number of vertices increases, the antiprism becomes more cylindrical and the volume increases proportionally with the cube of the edge length.
Q3: Can this formula be used for all types of antiprisms?
A: Yes, this general formula applies to all regular antiprisms with any number of vertices.
Q4: What are the units of measurement?
A: The edge length should be entered in meters, and the volume result will be in cubic meters (m³).
Q5: Are there any limitations to this formula?
A: This formula assumes a regular antiprism with equal edge lengths and perfect geometric symmetry.