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 = 6.
V = a³/(6√2); S = √3 a²
| Measurement | Calculated value |
|---|---|
| Edge | 6 cm |
| Volume | 25.455844 cm³ |
| Total surface area | 62.353829 cm² |
| Height | 4.8989795 cm |
| Circumradius | 3.6742346 cm |
From volume
Given: Volume V = 25.4558441227.
a = ∛(6√2 V)
| Measurement | Calculated value |
|---|---|
| Edge | 6 cm |
| Volume | 25.455844 cm³ |
| Total surface area | 62.353829 cm² |
| Height | 4.8989795 cm |
| Circumradius | 3.6742346 cm |
From height
Given: Height h = 4.8989794856.
a = h√(3/2)
| Measurement | Calculated value |
|---|---|
| Edge | 6 cm |
| Volume | 25.455844 cm³ |
| Total surface area | 62.353829 cm² |
| Height | 4.8989795 cm |
| Circumradius | 3.6742346 cm |
From total surface area
Given: Total surface area S = 62.3538290725.
a = √(S/√3)
| Measurement | Calculated value |
|---|---|
| Edge | 6 cm |
| Volume | 25.455844 cm³ |
| Total surface area | 62.353829 cm² |
| Height | 4.8989795 cm |
| Circumradius | 3.6742346 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.