Final answer:
The surface area of the entire pyramid cannot be calculated with the information provided because the slant heights of the side triangular faces are necessary to find their areas, and this information is missing.
Step-by-step explanation:
To calculate the surface area of a triangular pyramid (also known as a tetrahedron) with the given dimensions, we need to find the area of the base triangle and the area of the three triangular faces that make up the sides. The base of the pyramid is a triangle with a base of 4 yards and a height of 3.5 yards. Using the formula for the area of a triangle, which is 1/2 × base × height, we find the area of the base:
Base Area = 1/2 × 4 yd × 3.5 yd = 7 square yards.
The dimensions given do not provide enough information to determine the slant heights of the triangular faces, which are necessary for calculating the area of those faces. Therefore, the surface area of the entire pyramid cannot be calculated without additional information.