Triangular Pyramid Volume Calculator
Here’s a comprehensive table summarizing all you need to know about triangular pyramid volume:
| Aspect | Details |
|---|---|
| Formula | V = (1/3) × B × h |
| Variables | V = Volume B = Area of base triangle h = Height of pyramid |
| Base Area Calculation | B = (1/2) × base length × base height |
| Units | Cubic units (e.g., cm³, m³, in³) |
| Key Points | – Volume is one-third of the product of base area and height – Height must be perpendicular to the base – Base can be any type of triangle |
| Special Case | For a regular tetrahedron (all faces are equilateral triangles): V = (a³ × √2) / 12, where a is the edge length |
| Relation to Other Shapes | Similar to cone and pyramid volume formulas, using 1/3 as a factor |
| Common Mistakes | – Using slant height instead of perpendicular height – Forgetting to divide by 3 – Incorrect base area calculation |
| Practical Applications | – Architecture and construction – Packaging design – Geological formations |
| Variations | – Right triangular pyramid (apex directly above base centroid) – Oblique triangular pyramid |
This table provides a concise overview of the key aspects of triangular pyramid volume, including the formula, variables, calculation methods, units, special cases, and common applications.