To calculate the amount of plastic wrap needed to cover the wedge of cheese, we need to find the total surface area of the triangular prism.
The formula for the surface area of a triangular prism is:
Surface Area = 2(base area of triangle) + (perimeter of triangle) x height
First, let's calculate the base area of the triangle:
Base area = 1/2 x base x height
Base area = 1/2 x 9 cm x 5 cm
Base area = 22.5 cm^2
Next, let's calculate the perimeter of the triangle:
Perimeter = sum of all side lengths
Perimeter = 13 cm + 9 cm + 12 cm
Perimeter = 34 cm
Now, we can calculate the total surface area:
Surface Area = 2(22.5 cm^2) + 34 cm x 12 cm
Surface Area = 45 cm^2 + 408 cm^2
Surface Area = 453 cm^2
Therefore, 453 cm^2 of plastic wrap is needed to cover the wedge of cheese.
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
13cm 9cm 5cm and 12cm
1 answer