A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese? (1 point) Responses 287 cm2 287 cm squared 330 cm2 330 cm squared 810 cm2 810 cm squared 240 cm2 and the measurements are 13cm 12cm 9cm 5cm
To find out how much plastic wrap is needed to cover the wedge of cheese, we need to calculate the surface area of the triangular prism.
The formula for the surface area of a triangular prism is:
Surface Area = 2(base area of the triangle) + (perimeter of the base of the triangle * height of the prism)
First, calculate the area of the base of the triangle:
Base Area = (1/2) * base * height
Base Area = (1/2) * 13 * 12
Base Area = (1/2) * 156
Base Area = 78 cm2
Next, calculate the perimeter of the base of the triangle:
Perimeter of the Base = 13 + 12 + 9
Perimeter of the Base = 34 cm
Now, calculate the surface area of the triangular prism using the formula:
Surface Area = 2(78) + (34 * 5)
Surface Area = 156 + 170
Surface Area = 326 cm2
So, 330 cm2 of plastic wrap is needed to cover the wedge of cheese.
is this right
I apologize for the error in my calculation. Let's correct it:
First, calculate the area of the base of the triangle:
Base Area = (1/2) * base * height
Base Area = (1/2) * 13 * 12
Base Area = 78 cm2
Next, calculate the perimeter of the base of the triangle:
Perimeter of the Base = 13 + 12 + 9
Perimeter of the Base = 34 cm
Now, calculate the surface area of the triangular prism using the formula:
Surface Area = 2(78) + (34 * 5)
Surface Area = 156 + 170
Surface Area = 326 cm2
Therefore, 326 cm2 of plastic wrap is needed to cover the wedge of cheese. Thank you for bringing this to my attention.