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Midsphere Radius of Cube Formula:
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The Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere. It represents the sphere that touches the midpoints of all edges of the cube.
The calculator uses the formula:
Where:
Explanation: The midsphere radius of a cube is equal to the radius of the circumscribed cylinder that contains the cube with all vertices touching the cylinder.
Details: Calculating the midsphere radius is important in geometry and 3D modeling for understanding the spatial relationships between a cube and its circumscribed cylinder, as well as for various engineering and design applications.
Tips: Enter the circumscribed cylinder radius of the cube in meters. The value must be positive and greater than zero.
Q1: What is the relationship between midsphere radius and circumscribed cylinder radius?
A: The midsphere radius of a cube is exactly equal to the radius of its circumscribed cylinder.
Q2: Can this formula be used for other polyhedra?
A: No, this specific relationship only applies to cubes. Other polyhedra have different relationships between their midsphere radii and circumscribed cylinder radii.
Q3: What are practical applications of this calculation?
A: This calculation is useful in mechanical engineering, architecture, and 3D modeling where precise spatial relationships between geometric shapes are required.
Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cubes and provides precise results based on the input values.
Q5: What units should be used for the input?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as the same unit is used for both input and output.