The formula for the volume of a triangular prism is given by: V = B × h, where V is the volume, B is the area of the triangular base, and h is the height (or length) of the prism.
To break it down:
- The triangular base of the prism can have different dimensions, and its area can be calculated using the formula: B = 0.5 × base × height of the triangle.
- Once you find the area of the triangular base, you multiply it by the height (the distance between the two triangular bases) to find the volume.
For example, if the base of the triangular prism has a base length of 5 units and a height of 4 units, the area of the triangular base would be: B = 0.5 × 5 × 4 = 10 square units. If the height of the prism itself is 15 units, then the volume would be: V = 10 × 15 = 150 cubic units.