The sides are 9 cm, 5 cm, 13 cm, and 12 cm.
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
To calculate how much plastic wrap is needed to cover the wedge of cheese, we first need to calculate the total surface area of the prism.
The formula to find the surface area of a triangular prism is:
A = 2 * base area + perimeter of base * height
First, we calculate the base area of the triangle:
Base area = (1/2) * base * height
Base area = (1/2) * 9 * 5
Base area = 22.5 sq cm
Next, we calculate the perimeter of the base:
Perimeter = sum of all 3 sides
Perimeter = 9 + 5 + 13
Perimeter = 27 cm
Now we calculate the total surface area of the prism:
A = 2 * 22.5 + 27 * 12
A = 45 + 324
A = 369 sq cm
Therefore, a total of 369 square centimeters of plastic wrap is needed to cover the wedge of cheese.