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

Answer 1

To calculate the surface area of the triangular prism shaped cheese, we need to find the area of each of the five faces and then add them up:

1. Base triangle: The base triangle has a base of 12 cm and a height of 5 cm.
Area = 1/2 * base * height = 1/2 * 12 cm * 5 cm = 30 cm²

2. Top triangle: The top triangle is the same size as the base triangle.
Area = 30 cm²

3. Front rectangular face: This face has a width of 12 cm and a height of 9 cm.
Area = width * height = 12 cm * 9 cm = 108 cm²

4. Back rectangular face: Same as the front face.
Area = 108 cm²

5. Side rectangular face: This face has a width of 13 cm and a height of 9 cm.
Area = 13 cm * 9 cm = 117 cm²

Now we add up the area of all five faces:
30 cm² + 30 cm² + 108 cm² + 108 cm² + 117 cm² = 393 cm²

Therefore, 393 cm² of plastic wrap is needed to cover the wedge of cheese.