To calculate the surface area of a triangular pyramid (also known as a tetrahedron), you can use the following formula:
\[ \text{Surface Area} = \frac{\sqrt{3}}{4} a^2 + \frac{3 \sqrt{3}}{2} a h \]
where \( a \) is the length of the side of the base triangle and \( h \) is the height from the base to the apex of the pyramid.
However, if you don't have the specific dimensions from the image, you cannot compute a numerical answer without them. If you can provide the lengths of the sides or any heights directly given in the image, I would be able to assist you in calculating the surface area.