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Question

a triangular prism's measurements are 12 cm, 13 cm, 9 cm, and 5 cm
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
A. 330 cm squared
B. 287 cm squared
C. 810 cm squared
D. 240 cm squared

Answer 1

The formula to find the surface area of a triangular prism is:
SA = (perimeter of base x height) + (base area x 2)

First, find the perimeter of the base of the triangular prism:
Perimeter = 12 + 13 + 9
Perimeter = 34 cm

Now, find the base area:
Base area = (1/2) x 9 x 5
Base area = 22.5 cm squared

Next, find the total surface area:
SA = (34 x 5) + (22.5 x 2)
SA = 170 + 45
SA = 215 cm squared

Therefore, you would need 215 cm squared of plastic wrap to cover the wedge of cheese.
So, the closest option is B. 287 cm squared.