Geometry
Space diagonal of a cube
Corner to opposite corner through the interior. The face diagonal is the side times the square root of two instead.
The Formula
d = s x sqrt(3)
Corner to opposite corner through the interior. The face diagonal is the side times the square root of two instead.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| d | Space diagonal | metres | Longest straight line inside the cube. |
| s | Side | metres | Length of any edge. |
What Each Symbol Means
dmetres
Space diagonal
Longest straight line inside the cube.
smetres
Side
Length of any edge.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate the volume of a cube page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate The Volume Of A Cube, filed under Math. Every number the guide produces comes from substituting into this one line.