Geometry
Edge from surface area
Rearrange the surface area formula when you know the area and need the edge.
The Formula
s = sqrt(A / 6)
Rearrange the surface area formula when you know the area and need the edge.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| s | Edge length | units | Recovered edge length. |
| A | Surface area | square units | The known total surface area. |
What Each Symbol Means
sunits
Edge length
Recovered edge length.
Asquare units
Surface area
The known total surface area.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate the surface area 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 Surface Area Of A Cube, filed under Math. Every number the guide produces comes from substituting into this one line.