4-Sided Pyramid Volume Calculator
Here's a comprehensive table with all you need to know about the volume of a 4-sided (square base) pyramid:
| Aspect | Details |
|---|---|
| Definition | A 4-sided pyramid, also known as a square pyramid, is a three-dimensional shape with a square base and four triangular faces that meet at a point (apex)1. |
| Volume Formula | V = (1/3) * B * h |
| Formula Components | V = Volume B = Area of the square base h = Height of the pyramid13 |
| Expanded Formula | V = (1/3) * a² * h (where 'a' is the side length of the square base)3 |
| Units | Cubic units (e.g., cm³, m³, in³, ft³)4 |
| Key Measurements | - Side length of the square base (a) - Height of the pyramid (h) |
| Slant Height Relation | s² = h² + (a/2)² (where 's' is the slant height)2 |
| Special Case | For a right square pyramid, the apex is directly above the center of the base1 |
| Real-life Example | The Great Pyramid of Giza1 |
| Calculation Steps | 1. Calculate the area of the square base (B = a²) 2. Multiply the base area by the height 3. Divide the result by 3 |
| Related Formulas | Surface Area: S = a² + 2a√((a/2)² + h²)1 |
| Visualization | The pyramid can be seen as 1/3 of a cube with the same base and height3 |
Remember to always use consistent units when calculating the volume. This table provides a comprehensive overview of the 4-sided pyramid's volume, including its formula, components, and related concepts.