A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
287 centimeters squared
330 centimeters squared
810 centimeters squared
240 centimeters squared
To calculate the surface area of the triangular prism (wedge of cheese) you need to find the area of the three rectangular faces and the two triangular faces.
The formula for the surface area of a triangular prism is:
2*(base*height of triangle) + (base*height of rectangle) + (side*height of rectangle)
Given that you have no specific dimensions for the wedge of cheese, it is not possible to determine the exact amount of plastic wrap needed. Therefore, none of the provided options can be determined as the correct answer.
12cm on the bottom
5cm on the left corner
9 cm on the left top
13 on the right side <--->
To calculate the surface area of the wedge of cheese, first calculate the area of each face and then sum them up.
1. Area of the bottom rectangle:
Base = 12 cm
Height = 5 cm
Area = 12 cm * 5 cm = 60 cm²
2. Area of the left rectangle:
Base = 9 cm
Height = 5 cm
Area = 9 cm * 5 cm = 45 cm²
3. Area of the right rectangle:
Base = 13 cm
Height = 5 cm
Area = 13 cm * 5 cm = 65 cm²
4. Area of the left triangle:
Base = 4 cm (difference between the two sides of the triangle)
Height = 5 cm
Area = 0.5 * 4 cm * 5 cm = 10 cm²
5. Area of the right triangle:
Base = 5 cm (difference between the two sides of the triangle)
Height = 5 cm
Area = 0.5 * 5 cm * 5 cm = 12.5 cm²
Summing up all the areas:
Total surface area = 60 cm² + 45 cm² + 65 cm² + 10 cm² + 12.5 cm²
Total surface area = 192.5 cm²
Therefore, approximately 192.5 cm² of plastic wrap would be needed to cover the wedge of cheese.