Chocolate Bliss makes a candy bar in the shape of a triangular prism. The prism is represented by the net given. For packaging, the top and bottom are covered in gold foil, and the faces are covered in red foil. How many cm2 of red foil are needed for one candy bar? (1 point)
To find the total surface area of the triangular prism, we need to find the area of each face and add them up.
The triangular faces have a base of 6 cm and a height of 4 cm. The area of each triangular face is 1/2 * base * height = 1/2 * 6 * 4 = 12 cm2. Since there are two triangular faces, the total area for both is 2 * 12 = 24 cm2.
The rectangular faces have a length of 6 cm and a height of 4 cm. The area of each rectangular face is length * height = 6 * 4 = 24 cm2. Since there are three rectangular faces, the total area for all three is 3 * 24 = 72 cm2.
Adding up the areas of the triangular and rectangular faces, we get 24 + 72 = 96 cm2. Therefore, 96 cm2 of red foil are needed for one candy bar.