To calculate the total surface area covered in red foil, we need to find the area of each face of the prism.
Since there are 3 rectangles, each with dimensions of 20 cm by 16 cm, the total area of red foil needed for the rectangles is:
3 * (20 cm * 16 cm) = 960 cm²
Next, we need to find the area of the two triangular faces. The area of a triangle is calculated using the formula: 1/2 * base * height. Since the base is 20 cm and the height is given as 6 cm, the area of one triangle is:
1/2 * 20 cm * 6 cm = 60 cm²
Since there are two triangles, the total area needed for the triangles is:
2 * 60 cm² = 120 cm²
Therefore, the total area of red foil needed for one candy bar is:
960 cm² (rectangles) + 120 cm² (triangles) = 1,080 cm²
So, the closest answer from the given options is 1,056 cm².
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
720 cm2
720 cm squared
960 cm2
960 cm squared
1,056 cm2
1,056 cm squared
816 cm2
816 cm squared
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1 answer
1 answer