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 232.20 cm² be 197.01 cm² C2 165.32 cm² or D1 174.19 cm²
To calculate the total surface area of a triangular prism, we need to find the area of the two triangular bases and the three rectangular faces.
For the triangular bases, we use the formula (1/2) * base * height. The base of each triangle is 4 cm and the height is 6 cm.
Area of each triangular base = (1/2) * 4 cm * 6 cm = 12 cm²
Total area of the two triangular bases = 2 * 12 cm² = 24 cm²
For the rectangular faces, we use the formula length * height. The length of each rectangular face is 4 cm and the height is 8 cm.
Area of each rectangular face = 4 cm * 8 cm = 32 cm²
Total area of the three rectangular faces = 3 * 32 cm² = 96 cm²
So, the total surface area of the candy bar is 24 cm² + 96 cm² = 120 cm².
None of the given options are closest to 120.