To find the total surface area of the triangular prism candy bar, we need to calculate the areas of each face and then add them up.
First, we need to find the area of the triangular faces. The triangular faces are equilateral triangles, so we can use the formula for the area of an equilateral triangle: A = (√3/4) * s^2, where s is the length of one side of the triangle.
In this case, the length of one side of the triangle is 9 cm, so the area of one triangular face is A = (√3/4) * 9^2 = (√3/4) * 81 = (√3/4) * 81 = (1.732/4) * 81 = 139.50 cm^2.
Since there are two triangular faces, the total area of the triangular faces is 2 * 139.50 cm^2 = 279.00 cm^2.
Next, we need to find the area of the rectangular faces. The length of the rectangle is 9 cm and the width is 10 cm. The area of one rectangular face is A = length * width = 9 cm * 10 cm = 90 cm^2.
Since there are three rectangular faces, the total area of the rectangular faces is 3 * 90 cm^2 = 270 cm^2.
Finally, to find the total surface area, we add the areas of the triangular faces and the rectangular faces: 279.00 cm^2 + 270 cm^2 = 549.00 cm^2.
Among the given options, the measurement closest to the total surface area of the candy bar is 549.00 cm^2. Therefore, the correct answer is not provided in the options provided.
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Question
Leigh Ann is designing a wrapper for a new dark chocolate candy bar that her company is going to sell. The candy bar is a triangular prism. The dimensions of the candy bar are shown in the diagram.
Which measurement is closest to the total surface area of the candy bar in square centimeters?
Responses
A 232.20 cm2232.20 cm 2
B 197.01 cm2197.01 cm 2
C 265.32 cm2265.32 cm 2
D 174.19 cm2
1 answer