The formula to calculate the Total Surface Area of a Right Square Pyramid is:
\[ TSA = le(Base)^2 + (le(Base) \cdot \sqrt{le(Base)^2 + (4 \cdot h^2)}) \]
The Total Surface Area of a Right Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the pyramid. The Edge Length of the Base is the length of the straight line connecting any two adjacent vertices of the base. The Height is the length of the perpendicular from the apex to the base.
Let's assume the following values:
Using the formula:
\[ TSA = 10^2 + (10 \cdot \sqrt{10^2 + (4 \cdot 15^2)}) = 416.227766016838 \]
The Total Surface Area of the Right Square Pyramid is 416.227766016838 square meters.
| Edge Length of Base (meters) | Height (meters) | Total Surface Area (square meters) |
|---|---|---|
| 9 | 15 | 362.888275740584845 |
| 9.5 | 15 | 389.198260573631671 |
| 10 | 15 | 416.227766016837904 |
| 10.5 | 15 | 443.986516581569163 |
| 11 | 15 | 472.483996790750098 |