Final answer:
The formula for the volume of a triangular prism is V = Bh, where B is the area of the triangular base and h is the height of the prism.
Step-by-step explanation:
Cavalieri's Principle can be used to derive the formula for the volume of a triangular prism. According to this principle, if two solids have the same height and the same cross-sectional area at every level, they have the same volume.
For a triangular prism, the volume formula is V = Bh, where B is the area of the base triangle and h is the height of the prism.
The base triangle's area, B, can be calculated using the formula for the area of a triangle, A = 0.5bh, where b is the base length of the triangle and h is the height of the triangle. In turn, when you multiply this area by the height of the prism, you get the volume of the triangular prism.