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A New Solid (Posted on 2004-10-05) Difficulty: 3 of 5
A regular tetrahedron has four equilateral triangles as faces. A regular square pyramid has four equilateral triangles and a square as faces. The faces of the tetrahedron are congruent to the triangular faces of the square pyramid.

A new polyhedron is created by gluing the tetrahedron and the square pyramid together at a triangular face so that the vertices of the triangles coincide. How many faces does this polyhedron have?

See The Solution Submitted by Brian Smith    
Rating: 4.1250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Surely not the intended solution ! | Comment 4 of 19 |
(In reply to re: Surely not the intended solution ! by Fletch)

With 5 faces, it's not a tetrahedron.
  Posted by Charlie on 2004-10-05 13:05:24

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