The formula to calculate the Slant Height of a Right Square Pyramid is:
\[ h_{\text{slant}} = \sqrt{h^2 + \frac{l_e^2}{4}} \]
The Slant Height of a Right Square Pyramid is the length measured along the lateral face from the base to the apex of the pyramid along the center of the face. The Height is the length of the perpendicular from the apex to the base of the pyramid. The Edge Length of the Base is the length of the straight line connecting any two adjacent vertices of the base of the pyramid.
Let's assume the following values:
Using the formula:
\[ h_{\text{slant}} = \sqrt{15^2 + \frac{10^2}{4}} = 15.8113883008419 \]
The Slant Height is 15.8113883008419 Meters.
| Height (Meters) | Edge Length (Meters) | Slant Height (Meters) |
|---|---|---|
| 14 | 10 | 14.866068747318506 |
| 14.5 | 10 | 15.337861650177967 |
| 15 | 10 | 15.811388300841896 |
| 15.5 | 10 | 16.286497474902330 |
| 16 | 10 | 16.763054614240211 |