How to use this calculator
- Identify the measurements labelled Base side a, Base side b, Base side c, Prism length L. Check whether the figure satisfies the assumptions described below.
- Enter positive measurements in a common unit. Use the degree symbol convention for angles. Ratios such as eccentricity have no unit.
- Select Calculate. Inspect the result labels: lengths, areas and volumes have different dimensions. Copy the output or print the page if you need a record.
The formula
Base side a = 3; Base side b = 4; Base side c = 5; Prism length L = 10
Worked example
For Base side a = 3 cm, Base side b = 4 cm, Base side c = 5 cm, Prism length L = 10 cm, applying the displayed relationship gives volume ≈ 60 cm³. The remaining related measurements appear in the result panel. The example uses ideal dimensions and rounds only for display.
Model and limitations
Volume equals triangular base area times prism length. Total surface area equals twice the base area plus base perimeter times prism length. Both base shape and prism length must be specified.
A triangle’s altitude and the prism’s length are distinct. Oblique prisms require a different treatment of lateral surface area. Inputs are limited to 10⁹ for lengths, 10¹⁸ for areas and 10²⁷ for volumes. Extremely thin or nearly degenerate figures may lose numerical accuracy; avoid treating displayed rounding as a measurement tolerance.