Discover the volume of any triangular pyramid with our free online calculator. Simply input the base triangle dimensions and pyramid height to get instant results. Ideal for students, engineers, and anyone working with 3D geometry, this tool simplifies complex calculations, making learning and application effortless.
Formula:
The volume (V) of any pyramid, including a triangular pyramid, is calculated using the general formula:
V = (1/3) × Abase × h
Where:
- Abase: The area of the pyramid's base. For a triangular pyramid, this is the area of its triangular base.
- h: The perpendicular height of the pyramid (distance from the apex to the plane of the base).
Since the base is a triangle, its area (Abase) is calculated as:
Abase = (1/2) × b × Hbase
Where:
- b: The length of the base of the triangular base.
- Hbase: The height (altitude) of the triangular base, corresponding to the base length b.
By substituting the formula for Abase into the general volume formula, we get:
V = (1/3) × (1/2 × b × Hbase) × h
Which simplifies to:
V = (1/6) × b × Hbase × h