To calculate the amount of red foil needed for one candy bar, we need to find the total surface area of the triangular prism.
The net of the triangular prism is made up of two triangles and three rectangles. The formula for finding the surface area of a triangular prism is:
Surface Area = 2(area of base) + (perimeter of base) * (height)
Each triangle has a base of 3 cm and a height of 4 cm. The area of one triangle is:
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 3 cm * 4 cm
Area of triangle = 6 cm squared
Since there are two triangles, the total area of the triangles is:
Total area of triangles = 2 * 6 cm squared
Total area of triangles = 12 cm squared
Each rectangle has a length of 3 cm and a width of 4 cm. The area of one rectangle is:
Area of rectangle = length * width
Area of rectangle = 3 cm * 4 cm
Area of rectangle = 12 cm squared
Since there are three rectangles, the total area of the rectangles is:
Total area of rectangles = 3 * 12 cm squared
Total area of rectangles = 36 cm squared
Now, we can find the total surface area of the triangular prism:
Surface Area = 2 * (12 cm squared) + (3+3+5+5+4+4) cm * 4cm
Surface Area = 24 cm squared + 24 cm
Surface Area = 48 cm squared
Therefore, 48 cm squared of red foil are needed for one candy bar.
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 faces are covered in red foil. How many cm squared of red foil are needed for one candy bar
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