To calculate the amount of plastic wrap needed to cover the wedge of cheese, you will need to find the surface area of the triangular prism.
The formula to find the surface area of a triangular prism is:
Surface Area = 2(base area of triangle) + (perimeter of triangle) * height
First, calculate the base area of the triangle using the given measures (5 cm, 9 cm, and 12 cm). We can use Heron's formula to find the area of the triangle.
S = (s)(s-a)(s-b)(s-c)
where s = (a + b + c)/2
a = 5 cm, b = 9 cm, c = 12 cm
s = (5 + 9 + 12)/2 = 13 cm
S = √(13)(13-5)(13-9)(13-12) = √(13)(8)(4)(1) = √(416) ≈ 20.4 cm^2
Next, calculate the perimeter of the triangle:
Perimeter = 5 + 9 + 12 = 26 cm
Now, calculate the surface area of the triangular prism:
Surface Area = 2(20.4) + 26 * 13 = 40.8 + 338 = 378.8 cm^2
Therefore, approximately 378.8 square centimeters 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 cheeses
Measures are 5 cm 9 cm 12 cm 13 cm
1 answer