Answer:
In the triangular prism calculator you can easily find out the volume of that solid. A general formula is volume = length * base_area; the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. Our triangular prism calculator has all of them implemented, isn't it awesome?
The specific formulas look as follows:
Length * Triangular base area given triangle base and height
It's this well-known formula mentioned before:
volume = length * 0.5 * b * h
Length * Triangular base area given three sides (SSS)
If you know the lengths of all sides, use the Heron's formula to find the area of triangular base:
volume = length * 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Length * Triangular base area given two sides and the angle between them (SAS)
You can calculate area of a triangle easily from trigonometry:
volume = length * 0.5 * a * b * sin(γ)
Length * Triangular base area given two angles and a side between them (ASA)
You can calculate that using trigonometry:
volume = = length * a² * sin(β) * sin(γ) / (2 * sin(β + γ))
Explanation: