a wedge of cheese is shaped like a triangular prism. how much plastic wrap is needed to cover the wedge of cheese

the base is 12 cm the height is 5 cm the wight

1 answer

To calculate the amount of plastic wrap needed to cover the wedge of cheese, we need to calculate the surface area of the prism.

The formula to calculate the surface area of a triangular prism is given by:

Surface Area = 2*(base area) + (perimeter of base)*(height)

1. The base area of the triangular prism can be calculated as:
Base area = (1/2)*base*height = (1/2)*12*5 = 30 cm^2

2. The perimeter of the base can be calculated as the sum of the lengths of all three sides of the triangle:
Perimeter = 12 + 12 + 12 = 36 cm

3. Now, we can calculate the amount of plastic wrap needed to cover the cheese:
Surface Area = 2*(30) + 36*5 = 60 + 180 = 240 cm^2

Therefore, 240 cm^2 of plastic wrap is needed to cover the wedge of cheese.