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.
Triangular base sides and prism length
Given: Base side a = 3; Base side b = 4; Base side c = 5; Prism length L = 10.
V = A_base L; S = 2A_base + P_base L
| Measurement | Calculated value |
|---|---|
| Volume | 60 cm³ |
| Total surface area | 132 cm² |
| Base area | 6 cm² |
| Base perimeter | 12 cm |
| Prism length | 10 cm |
Right-triangle base and prism length
Given: Base leg a = 3; Base leg b = 4; Prism length L = 10.
A_base = ab/2; c = √(a²+b²)
| Measurement | Calculated value |
|---|---|
| Volume | 60 cm³ |
| Total surface area | 132 cm² |
| Base area | 6 cm² |
| Base perimeter | 12 cm |
| Prism length | 10 cm |
Base area, base perimeter and prism length
Given: Base area = 6; Base perimeter = 12; Prism length L = 10.
V = A_base L; S = 2A_base + P_base L
| Measurement | Calculated value |
|---|---|
| Volume | 60 cm³ |
| Total surface area | 132 cm² |
Volume and triangular base sides
Given: Volume V = 60; Base side a = 3; Base side b = 4; Base side c = 5.
L = V/A_base
| Measurement | Calculated value |
|---|---|
| Volume | 60 cm³ |
| Total surface area | 132 cm² |
| Base area | 6 cm² |
| Base perimeter | 12 cm |
| Prism length | 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.