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 330 cm2 330 cm squared 810 cm2 810 cm squared 287 cm2 287 cm squared 240 cm2
The surface area of a prism can be calculated by finding the area of all the individual faces and adding them together.
In this case, the base of the triangular prism is a right triangle with legs measuring 12 cm and 16 cm. The area of the base is (1/2)(12)(16) = 96 cm2.
There are two triangular faces on the prism, each with a base of 12 cm and a height of 12 cm (the slant height of the prism). The area of each triangular face is (1/2)(12)(12) = 72 cm2. Since there are two triangular faces, the total area of the triangular faces is 72*2 = 144 cm2.
To find the total surface area of the prism, add the area of the base and the area of the triangular faces together: 96 + 144 = 240 cm2.
Therefore, 240 cm2 of plastic wrap is needed to cover the wedge of cheese.