Use the image to answer the question.An illustration shows an unfolded version of a triangular prism.There are 3 horizontal rectangles stacked on top of one another. The first and the last are similar and the middle one is larger. The horizontal length of the three rectangles is 20 centimeters. The vertical width of the second rectangle is 16 centimeters. There are two similar triangles adjoined to the left and right of the second rectangle, with the rectangle width as the triangle bases. The perpendicular length of the triangle, drawn as a dotted line from the top vertex to the middle of the base, is 6 centimeters; it is denoted by a right angle symbol. The length of the hypotenuse slant is 10 centimeters. All interior lines are drawn as dashed lines, and all outer lines are solid. 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)Responses960 cm2960 cm squared816 cm2816 cm squared720 cm2720 cm squared1,056 cm21,056 cm squaredSkip to navigation
To calculate the surface area of the red foil needed for one candy bar, we need to find the area of the three rectangles and two triangles on the net.
Area of the three rectangles:
2 rectangles with length 20 cm and width 16 cm = 2 * 20 * 16 = 640 cm^2
1 rectangle with length 20 cm and width 10 cm = 20 * 10 = 200 cm^2
Area of the two triangles:
2 triangles each with base 16 cm and height 6 cm = 2 * 0.5 * 16 * 6 = 96 cm^2
Total area of the red foil needed = 640 + 200 + 96 = 936 cm^2
Therefore, 936 cm^2 of red foil are needed for one candy bar.