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 point)
330 cm2
240 cm2
810 cm2
287 cm2
240 cm2
To find the surface area of the triangular prism (wedge of cheese), we need to calculate the area of each face and then add them together. The formula for the surface area of a triangular prism is 2(base area) + (perimeter of base)(height).
Base area = 1/2 * base * height = 1/2 * 15 * 8 = 60 cm2
Perimeter of base = 15 + 10 + 10 = 35 cm
Surface area = 2(60) + 35(8) = 120 + 280 = 400 cm2
Since the plastic wrap only covers the outside of the prism, we don't need to account for the area of the cut-off slant. Therefore, the amount of plastic wrap needed is 400 cm2.