Question

Use the image to answer the question.

An illustration shows a triangular pyramid made with rows of chocolate covered candies. The base measures 16 inches, the side of the triangular face measures 16 inches, and the vertical height is 13.86 inches.

Compute the surface area of the chocolate tower.

(1 point)
Responses

1,884.96 in.2
1,884.96 in. squared

554.4 in.2
554.4 in. squared

443.52 in.2
443.52 in. squared

460.64 in.2
460.64 in. squared
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular pyramid, we need to calculate the area of the three triangular faces and the base.

Each triangular face can be calculated using the formula for the area of a triangle: 1/2 * base * height.
For the triangular faces:
Area = 1/2 * 16 * 13.86 = 111.36 in^2.

The area of the base can be calculated using the formula for the area of a triangle (since the base is a triangle):
Area = 1/2 * 16 * 16 = 128 in^2.

Now, add up the areas of the three triangular faces and the base:
111.36 in^2 + 111.36 in^2 + 111.36 in^2 + 128 in^2 = 462.08 in^2.

Therefore, the surface area of the chocolate tower is 462.08 in^2.

The closest option to this answer is 460.64 in^2.