A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese
5 cm tall
9 cm
12cm
13cm
To calculate the surface area of the wedge of cheese, we first need to find the area of each of the five faces.
Face 1: The triangular base of the wedge
Area = 0.5 * base * height
Area = 0.5 * 9 * 12
Area = 54 cm^2
Faces 2, 3, and 4: The three rectangular faces
Area = length * width
Area = 9 * 5
Area = 45 cm^2 (for each rectangular face)
Total area for all three rectangular faces: 45 * 3 = 135 cm^2
Face 5: The triangular top of the wedge
Area = 0.5 * base * height
Area = 0.5 * 9 * 5
Area = 22.5 cm^2
Total surface area of the cheese wedge = 54 (base) + 135 (rectangular faces) + 22.5 (top) = 211.5 cm^2
To cover the wedge of cheese with plastic wrap, you would need 211.5 cm^2 of plastic wrap.