Volume Pirâmide Triangular

The triangular pyramid volume calculator computes the three-dimensional space occupied by a pyramid whose base is a triangle. The volume is obtained by multiplying the area of the triangular base by the height of the pyramid and dividing the result by three. This formula, V = A·h/3, is derived from the principle that the volume of a pyramid is one-third the volume of a prism with the same base and height.

To use the calculator, enter the area of the triangular base (in square units) and the height of the pyramid (the perpendicular distance from the apex to the base plane, in linear units). The result will be the volume in cubic units. The tool is useful for geometry students, architects, engineers, and anyone needing to quickly determine the volume of objects with this shape.

Common use cases include calculating the volume of a pyramidal tent, a traffic cone with a triangular base, or a decorative piece. It is important to ensure that the height provided is the perpendicular height of the pyramid, not the lateral edge. Additionally, the base must be a triangle, and its area must be calculated separately (e.g., using Heron's formula or base times height divided by two).

Caution: ensure the height is the distance from the apex to the center of the base (true height), not the slanted edge. If the pyramid is not right (apex not aligned with the base center), the volume is still calculated with the same formula, as long as the height is perpendicular to the base plane. For truncated pyramids, use the specific formula for frustum.