To find the surface area of the triangular prism, we need to calculate the area of each of the six faces and then add them up.
1. Area of the two triangular bases:
Each base is a right triangle with a base of 7 units and height of 24 units. The area of each base is (1/2)*base*height = (1/2)*7*24 = 84 square units. Since there are two bases, their total area is 2*84 = 168 square units.
2. Area of the three rectangular faces:
There are three rectangular faces: two with dimensions of 100 units by 24 units, and one with dimensions of 100 units by 7 units. The total area of the three rectangular faces is 2*(100*24) + 100*7 = 4800 + 700 = 5500 square units.
3. Add up the areas of all the faces:
168 (triangular bases) + 5500 (rectangular faces) = 5668 square units.
Therefore, the surface area of the triangular prism is 5668 square units.
So, the answer is 5,668 square units.