a wedge of cheese is shaped like a triangular prism. how much plastic wrap is needed to cover the wedge of cheese
the base is 12 cm the height is 5 cm the wight anted a
the slant is 13 cm btw
To find the amount of plastic wrap needed to cover the wedge of cheese, we need to calculate the surface area of the triangular prism.
First, calculate the area of the two triangular bases:
Base area = (1/2) x base x height
Base area = (1/2) x 12 cm x 5 cm
Base area = 30 cm^2
Now, calculate the area of the three rectangular sides:
Rectangular side area = base x slant height
Rectangular side area = 12 cm x 13 cm
Rectangular side area = 156 cm^2
Add the areas of the two triangular bases and the three rectangular sides to find the total surface area of the wedge of cheese:
Total surface area = 2 x base area + 3 x rectangular side area
Total surface area = 2 x 30 cm^2 + 3 x 156 cm^2
Total surface area = 60 cm^2 + 468 cm^2
Total surface area = 528 cm^2
Therefore, 528 cm^2 of plastic wrap is needed to cover the wedge of cheese.