The formula to calculate the Total Surface Area of a Tetrahedron given its volume is:
\[ \text{Total Surface Area} = \sqrt{3} \cdot \left(\frac{12 \cdot \text{Volume}}{\sqrt{2}}\right)^{\frac{2}{3}} \]
The Total Surface Area of a Tetrahedron is the total quantity of plane enclosed by the entire surface of the tetrahedron. The volume of a tetrahedron is the total quantity of three-dimensional space enclosed by its surface.
Let's assume the following value:
Using the formula:
\[ \text{Total Surface Area} = \sqrt{3} \cdot \left(\frac{12 \cdot 120}{\sqrt{2}}\right)^{\frac{2}{3}} \approx 175.3042 \, \text{square meters} \]
The Total Surface Area is approximately 175.3042 square meters.
| Volume (cubic meters) | Total Surface Area (square meters) |
|---|---|
| 100 | 155.240414206346685 |
| 110 | 165.424532614858151 |
| 120 | 175.304187487903761 |
| 130 | 184.912822504589684 |
| 140 | 194.277937068472198 |