Use Nets for Triangular Pyramids Quick Check
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Question
Use the image to answer the question.
An illustration shows a net diagram of a tetrahedron. The net diagram is in the shape of a parallelogram. The net diagram is formed by connecting 4 identical triangles horizontally. From left to right, the first and third triangles rest on their bases. The second and fourth triangles are inverted. The side edges where each triangle meets the next are marked by dashed lines. The base length of the first triangle measures 8 inches. The slant height is indicated by a perpendicular line on the first triangle and measures 7 inches.
What is the surface area of the tetrahedron?
(1 point)
Responses
112 in.2
112 in. squared
84 in.2
84 in. squared
28 in.2
28 in. squared
224 in.2
224 in. squared
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1 answer
Area of a triangle = 1/2 * base * height
Area of each triangle = 1/2 * 8 * 7 = 28 in²
Since there are 4 identical triangles forming the tetrahedron, the total surface area is:
Total surface area = 4 * 28 = 112 in²
Therefore, the correct answer is:
112 in.²