A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese? the demission's of the cheese is 12cm 5cm 9cm 13cm

4 answers

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.
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