Use the image to answer the question.

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

1 answer

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

The surface area of a triangular prism can be calculated using the formula:

Surface Area = 2bh + bl + hl

Where:
b = base of the triangle (width of the wedge)
h = height of the triangle (height of the wedge)
l = length of the prism

From the image, we can estimate the following measurements:
b = 5 cm
h = 6 cm
l = 12 cm

Surface Area = 2(5)(6) + (5)(12) + (6)(12)
Surface Area = 60 + 60 + 72
Surface Area = 192 square cm

Therefore, 192 square cm of plastic wrap is needed to cover the wedge of cheese.