9 cm

13 cm

5 cm

C

12 cm

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 cm³²

810 cm²

287 cm³

1 answer

To find the surface area of the triangular prism (which includes the plastic wrap needed to cover it), we need to find the area of each of the faces and then add them together.

The triangular face has a base of 12 cm and a height of 9 cm, so its area is:
1/2 * 12 cm * 9 cm = 54 cm²

Since there are two triangular faces, the total area of the triangular faces is:
2 * 54 cm² = 108 cm²

The rectangular faces have dimensions of 13 cm by 5 cm, so their area is:
13 cm * 5 cm = 65 cm²

Since there are three rectangular faces, the total area of the rectangular faces is:
3 * 65 cm² = 195 cm²

Adding these two totals together gives us the total surface area:
108 cm² + 195 cm² = 303 cm²

So, 303 cm² of plastic wrap is needed to cover the wedge of cheese.