A wedge of cheese is shaped like a triangular prism how much plastic wrap is needed to cover this wedge of cheese if the measurements are 5 cm, 12 cm, 9 cm, 13 cm
To find the amount of plastic wrap needed to cover the wedge of cheese, we need to calculate the total surface area of the triangular prism.
The surface area of a triangular prism can be calculated using the formula:
Surface Area = 2*(base area) + (perimeter of base)*(height)
First, let's find the base area of the triangular prism:
Base area = 1/2 * base * height
Base area = 1/2 * 5cm * 12cm
Base area = 30 cm²
Next, let's find the perimeter of the base:
Perimeter = sum of all three sides
Perimeter = 5cm + 12cm + 9cm
Perimeter = 26cm
Now, we can calculate the total surface area of the triangular prism:
Surface Area = 2*(30 cm²) + (26 cm)*(13 cm)
Surface Area = 60 cm² + 338 cm²
Surface Area = 398 cm²
Therefore, you would need 398 cm² of plastic wrap to cover the wedge of cheese.