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Question

12:46

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

Answer 1

To find the total surface area of the candy bar, we need to find the area of each face and then add them together.

The candy bar has two triangular faces and three rectangular faces.

To find the area of a triangle, we use the formula: A = 0.5 * base * height.

The base of the triangle is 8 cm and the height is 10 cm. Plugging these values into the formula, we get: A = 0.5 * 8 cm * 10 cm = 40 cm^2.

Since there are two triangular faces, the total area of the triangular faces is: 2 * 40 cm^2 = 80 cm^2.

To find the area of a rectangle, we use the formula: A = length * width.

For the rectangular face with dimensions 8 cm by 5 cm, the area is: A = 8 cm * 5 cm = 40 cm^2.

For the rectangular face with dimensions 8 cm by 4 cm, the area is: A = 8 cm * 4 cm = 32 cm^2.

For the rectangular face with dimensions 5 cm by 4 cm, the area is: A = 5 cm * 4 cm = 20 cm^2.

Adding up the areas of all the faces, we get: 80 cm^2 + 40 cm^2 + 32 cm^2 + 20 cm^2 = 172 cm^2.

Therefore, the measurement closest to the total surface area of the candy bar in square centimeters is 172 cm^2.

The closest answer choice is D) 174.19 cm^2.