Cube Space Diagonal
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
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The space diagonal runs through a cube's interior from one corner to the opposite corner, and two applications of the Pythagorean theorem give its length: the face diagonal is a√2, and combining that with the third edge yields d = a√3 ≈ 1.732a. Practical check: the longest rod that fits inside a 1 m cubic box is about 1.73 m. The relation is linear, so inverting it is a simple division with no branch issues.
Cube Space Diagonal
Where
- = Space diagonal
- = Edge length
Missing one of these? Work it out first, then come back
- Space diagonal — Pythagorean Theorem, Area of a Circle
- Edge length — Cube Volume, Cube Surface Area