Leanne is designing a rapper for a new dark chocolate candy bar that her company is going to sell. The candy bar is a triangular prism. The dimension of the candy bar are shown in the diagram below which measurement is closest to the total surface area of a candy bar in centimeters a 32.20 cm² be 197.01 cm² C2 165.32 cm² or D1 174.19 cm²
To find the total surface area of the candy bar, we need to calculate the area of all its faces and then add them up.
面积(Area) =底面积(Base Area) + 侧面积(Lateral Area)
The base of the candy bar is a triangle, so we need to calculate the area of the triangle first.
Area of a triangle = (base × height) / 2
Using the dimensions given in the diagram, we can calculate the base and height of the triangle as follows:
Base = 6 cm
Height = 4 cm
Area of the base = (6 × 4) / 2 = 12 cm²
Now, let's calculate the lateral area. The candy bar is a triangular prism, so there are two identical triangles on the sides.
Using the dimensions given in the diagram, we can calculate the base and height of each side triangle as follows:
Base = 6 cm
Height = 8 cm
Area of each side triangle = (6 × 8) / 2 = 24 cm²
Since there are two side triangles, the total lateral area = 2 × 24 = 48 cm²
Now, let's calculate the total surface area by adding the base area and the lateral area:
Total surface area = Base area + Lateral area
= 12 cm² + 48 cm²
= 60 cm²
Therefore, the total surface area of the candy bar is 60 cm².
Among the given options, the measurement that is closest to the total surface area is C2 165.32 cm².
The answers are
232.20cm²
197.01cm²
265.32cm²
174.19cm²