GATE ME 2024 Set 1 — Question 10
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General Aptitude → Quantitative Aptitude → Mensuration & Geometry
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Question
Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is
- A.
- B.
- C.
- D.
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Correct answer
(MTA)
Solution
A regular closed three-dimensional object formed by four equilateral triangles is a regular tetrahedron. The dihedral angle between any two faces of a regular tetrahedron is given by , which means . Since none of the options () match this value, this question was marked as 'Marks to All' (MTA) in the official GATE 2024 answer key.
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