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.
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.