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To calculate the surface area of the wedge of cheese, we need to find the area of each face and add them together.
The cheese has two triangular faces and three rectangular faces.
The area of a triangle can be calculated as A = 1/2 * base * height.
The area of a rectangle can be calculated as A = length * width.
For the triangular faces:
1. Area = 1/2 * 12 * 5 = 30 cm²
2. Area = 1/2 * 12 * 9 = 54 cm²
For the rectangular faces:
3. Area = 12 * 13 = 156 cm²
4. Area = 13 * 5 = 65 cm²
5. Area = 5 * 9 = 45 cm²
Total surface area = 30 + 54 + 156 + 65 + 45 = 350 cm²
Therefore, you would need 350 cm² of plastic wrap to cover the wedge of cheese.