Question

Use the image to answer the question.

Two front faces of a triangular pyramid are shown. Each face shows three levels of triangle shapes: 1 at the top, 3 in the middle row, and 5 along the bottom row. The orientation of the triangles alternates from upright to inverted on the bottom two rows. The sides of the triangular pyramid are equilateral and measure 4 inches. The vertical height measures 3.646 inches.

What is the surface area of Sally’s Pyraminx? Write your answer in decimal form. Round to the nearest thousandth.

(1 point)
in.2
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of Sally's Pyraminx, we first need to calculate the area of each face and then add them together.

Since the pyraminx has 4 equilateral triangles as faces, and each side measures 4 inches, we can calculate the area of one of the triangular faces using the formula:

Area = (1/2) * base * height

Area = (1/2) * 4 * 3.646
Area = 7.292 square inches

Since there are 4 identical faces on the pyraminx, the total surface area is:
7.292 * 4 = 29.168 square inches

Therefore, the surface area of Sally's Pyraminx is approximately 29.168 square inches.