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)
Responses
816 cm2
816 cm squared
1,056 cm2
1,056 cm squared
960 cm2
960 cm squared
720 cm2
720 cm squared
Skip to navigation
To find the total surface area covered in red foil, we need to find the area of each face of the triangular prism and add them together.
The two triangular faces each have an area of 1/2 * base * height.
Area of one triangular face = 1/2 * 20 cm * 6 cm = 60 cm^2
Area of both triangular faces = 2 * 60 cm^2 = 120 cm^2
The three rectangular faces each have an area of length * width.
Area of one rectangular face = 20 cm * 16 cm = 320 cm^2
Area of all three rectangular faces = 3 * 320 cm^2 = 960 cm^2
Total area covered in red foil = 120 cm^2 + 960 cm^2 = 1,080 cm^2
Therefore, the correct answer is 1,080 cm^2.
use the answer listed
The closest answer listed to the calculated total surface area covered in red foil of 1,080 cm^2 is 1,056 cm^2. Therefore, the correct answer is:
1,056 cm^2
1,056 cm squared