10 cm 6 cm 16 cm 20 cm
Chocolate Bliss makes a candy bar in the shape of a triangular prism the triangular 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 centimeters of red foil are needed to make one candy bar
960 cm
816 cm
1,056 cm
720 cm
To calculate the amount of red foil needed, we first need to calculate the surface area of the triangular prism.
The formula for the surface area of a triangular prism is SA = 2B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the prism.
First, we need to calculate the base area and perimeter:
Base area:
Base = 1/2 * base * height
Base = 1/2 * 10 cm * 6 cm
Base = 30 cm^2
Perimeter of the base:
Perimeter = 10 cm + 6 cm + sqrt(10^2 + 6^2)
Perimeter = 10 cm + 6 cm + 10 cm
Perimeter = 26 cm
Now, we can calculate the surface area of the prism:
SA = 2(30 cm^2) + 26 cm * 16 cm
SA = 60 cm^2 + 416 cm^2
SA = 476 cm^2
Since there are 5 faces covered in red foil, we need to multiply the surface area by 5:
476 cm^2 * 5 = 2380 cm^2
Therefore, 2,380 cm^2 of red foil are needed to make one candy bar.
No choose from one of the answers given
960 cm^2
816 cm^2
1056 cm^2
720 cm^2
There is no order 20 cm 16 cm 10 cm 6 cm
Apologies for the confusion. Let's recalculate using the correct dimensions:
Given perimeter: 20 cm + 16 cm + 10 cm = 46 cm
Given height: 6 cm
Base area:
Base = (1/2) * base * height
Base = (1/2) * 10 cm * 6 cm
Base = 30 cm^2
Surface area of the prism:
SA = 2(30 cm^2) + 46 cm * 6 cm
SA = 60 cm^2 + 276 cm^2
SA = 336 cm^2
Since there are 5 faces covered in red foil, the total red foil needed is:
336 cm^2 * 5 = 1680 cm^2
Therefore, the correct answer from the options given is 1680 cm^2.