Question

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) Responses 240 cm2 240 cm squared 810 cm2 810 cm squared 287 cm2 287 cm squared 330 cm2

Answer 1

use the answer choices to answer it

Answer 2

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

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

The triangular base of the wedge of cheese has a base of 12 cm and a height of 9 cm.

Area of triangle = (1/2) x base x height
Area of triangle = (1/2) x 12 cm x 9 cm
Area of triangle = 54 cm^2

Perimeter of base = sum of all three sides
Perimeter of base = 12 cm + 12 cm + 9 cm
Perimeter of base = 33 cm

Surface area = (2 x 54 cm^2) + (33 cm x 12 cm)
Surface area = 108 cm^2 + 396 cm^2
Surface area = 504 cm^2

Therefore, 504 cm^2 of plastic wrap is needed to cover the wedge of cheese.

Answer 3

The closest answer choice to 504 cm^2 is 810 cm^2. Therefore, 810 cm^2 of plastic wrap is needed to cover the wedge of cheese.