Follow a worked example.
Every example below can be loaded using its calculator’s Reset example button. Inputs use centimetres, square centimetres or cubic centimetres as labelled, while angles use degrees.
From an edge
Given: Edge a = 5.
V = a³; S = 6a²
| Measurement | Calculated value |
|---|---|
| Edge | 5 cm |
| Volume | 125 cm³ |
| Total surface area | 150 cm² |
| Face diagonal | 7.0710678 cm |
| Space diagonal | 8.660254 cm |
From volume
Given: Volume V = 125.
a = ∛V
| Measurement | Calculated value |
|---|---|
| Edge | 5 cm |
| Volume | 125 cm³ |
| Total surface area | 150 cm² |
| Face diagonal | 7.0710678 cm |
| Space diagonal | 8.660254 cm |
From total surface area
Given: Total surface area S = 150.
a = √(S/6)
| Measurement | Calculated value |
|---|---|
| Edge | 5 cm |
| Volume | 125 cm³ |
| Total surface area | 150 cm² |
| Face diagonal | 7.0710678 cm |
| Space diagonal | 8.660254 cm |
From space diagonal
Given: Space diagonal d = 8.6602540378.
a = d/√3
| Measurement | Calculated value |
|---|---|
| Edge | 5 cm |
| Volume | 125 cm³ |
| Total surface area | 150 cm² |
| Face diagonal | 7.0710678 cm |
| Space diagonal | 8.660254 cm |
Check the answer’s dimensions
An area contains a product of two lengths, while volume contains three. A perimeter or radius is still a length. If your input measurements are mixed between metres and centimetres, convert them to a common unit first. A realistic-looking number can still be wrong if the units were inconsistent.