Use the image to answer the question. 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 240 cm2 240 cm squared 330 cm2 330 cm squared 810 cm2 810 cm squared 287 cm2
The surface area of a triangular prism can be calculated by finding the area of each face and adding them together.
The area of the triangular face can be calculated using the formula Area = 1/2 * base * height.
In this case, the base is the length of the bottom edge of the triangle (5 cm) and the height is the height of the triangle (7 cm).
Area of the triangular face = 1/2 * 5 cm * 7 cm = 17.5 cm squared.
Since there are two triangular faces on the wedge of cheese, the total area of the triangular faces is 2 * 17.5 cm squared = 35 cm squared.
Next, we need to calculate the area of the two rectangular faces on the wedge of cheese. The area of a rectangle can be calculated using the formula Area = length * width.
The length of the rectangles is 7 cm and the width is 5 cm.
Area of each rectangular face = 7 cm * 5 cm = 35 cm squared.
Since there are two rectangular faces on the wedge of cheese, the total area of the rectangular faces is 2 * 35 cm squared = 70 cm squared.
Therefore, the total surface area of the wedge of cheese is 35 cm squared + 70 cm squared = 105 cm squared.
However, the question asked for the amount of plastic wrap needed to cover the wedge of cheese, so we need to multiply this total surface area by 3 (since there are three faces that need to be covered - two triangles and one rectangle).
105 cm squared * 3 = 315 cm squared.
Therefore, the amount of plastic wrap needed to cover the wedge of cheese is 315 cm squared.
So, the closest response option is 330 cm squared.