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.
Three perpendicular edges
Given: Length a = 8; Width b = 5; Height c = 3.
V = abc; S = 2(ab+ac+bc)
| Measurement | Calculated value |
|---|---|
| Length | 8 cm |
| Width | 5 cm |
| Height | 3 cm |
| Volume | 120 cm³ |
| Total surface area | 158 cm² |
| Space diagonal | 9.8994949 cm |
Volume and two edges
Given: Volume V = 120; Length a = 8; Width b = 5.
c = V/(ab)
| Measurement | Calculated value |
|---|---|
| Length | 8 cm |
| Width | 5 cm |
| Height | 3 cm |
| Volume | 120 cm³ |
| Total surface area | 158 cm² |
| Space diagonal | 9.8994949 cm |
Surface area and two edges
Given: Total surface area S = 158; Length a = 8; Width b = 5.
c = (S/2−ab)/(a+b)
| Measurement | Calculated value |
|---|---|
| Length | 8 cm |
| Width | 5 cm |
| Height | 3 cm |
| Volume | 120 cm³ |
| Total surface area | 158 cm² |
| Space diagonal | 9.8994949 cm |
Space diagonal and two edges
Given: Space diagonal d = 10; Length a = 6; Width b = 5.
c = √(d²−a²−b²)
| Measurement | Calculated value |
|---|---|
| Length | 6 cm |
| Width | 5 cm |
| Height | 6.244998 cm |
| Volume | 187.34994 cm³ |
| Total surface area | 197.38996 cm² |
| Space diagonal | 10 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.