Space Diagonal of a Cube
Space Diagonal of a Cube
\[d = a\sqrt{3}\]
Variables
d = space diagonal of the cube (m)
a = edge length of the cube (m)
Description
What is this formula?
This formula calculates the space diagonal of a cube. The space diagonal connects two opposite vertices through the interior of the cube.
When to use it
Use this formula when determining the maximum internal distance between two points inside a cube.
Example
If a cube has an edge length of 5 m:
d = 5√3 ≈ 8.66 m
Applications
- Geometry and mathematics
- Engineering design
- Structural analysis
- Computer graphics and 3D modeling
- Architecture and spatial calculations
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