13 cm 9 cm 5 cm and 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)
240 cm₴
330 cm?
287 cm-
810 cm
To find the surface area of the triangular prism (which is the amount of plastic wrap needed to cover it), we need to find the area of each of the five faces and add them together.
The triangular faces will each have an area of 1/2 * base * height:
1. First triangular face: 1/2 * 12 cm * 5 cm = 30 cm²
2. Second triangular face: 1/2 * 9 cm * 5 cm = 22.5 cm²
3. Third triangular face: 1/2 * 13 cm * 5 cm = 32.5 cm²
The rectangular faces will have an area of length * width:
1. Fourth face: 9 cm * 12 cm = 108 cm²
2. Fifth face: 13 cm * 12 cm = 156 cm²
Now add up all the areas:
30 cm² + 22.5 cm² + 32.5 cm² + 108 cm² + 156 cm² = 349 cm²
So, 349 cm² of plastic wrap is needed to cover the wedge of cheese.