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.
Base edge and vertical height
Given: Base edge a = 6; Vertical height h = 4.
l = √(h²+a²/4); V = a²h/3; S = a²+2al
| Measurement | Calculated value |
|---|---|
| Base edge | 6 cm |
| Vertical height | 4 cm |
| Face slant height | 5 cm |
| Volume | 48 cm³ |
| Total surface area | 96 cm² |
| Lateral edge | 5.8309519 cm |
Base edge and face slant height
Given: Base edge a = 6; Face slant height l = 5.
h = √(l²−a²/4)
| Measurement | Calculated value |
|---|---|
| Base edge | 6 cm |
| Vertical height | 4 cm |
| Face slant height | 5 cm |
| Volume | 48 cm³ |
| Total surface area | 96 cm² |
| Lateral edge | 5.8309519 cm |
Volume and base edge
Given: Volume V = 48; Base edge a = 6.
h = 3V/a²
| Measurement | Calculated value |
|---|---|
| Base edge | 6 cm |
| Vertical height | 4 cm |
| Face slant height | 5 cm |
| Volume | 48 cm³ |
| Total surface area | 96 cm² |
| Lateral edge | 5.8309519 cm |
Total surface area and base edge
Given: Total surface area S = 96; Base edge a = 6.
l = (S−a²)/(2a)
| Measurement | Calculated value |
|---|---|
| Base edge | 6 cm |
| Vertical height | 4 cm |
| Face slant height | 5 cm |
| Volume | 48 cm³ |
| Total surface area | 96 cm² |
| Lateral edge | 5.8309519 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.