Regular Tetrahedron Cross Sections
Geometry
Level
3
If you took a solid tetrahedron and cut it through with a single flat slice, what might the newly-created surface look like?
Note: As one of the 5 platonic solids, the tetrahedron has 4 faces, each of which is an equilateral triangle.
A, B, C, D, E
A, B, D, E only
B, D only
A, B, D only
A, B only
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1 solution
A can be made by balancing a tetrahedron on its edge and slicing half way up.
B can be made by placing a tetrahedron on its face and slicing half way up.
D can be made by balancing a tetrahedron on its edge and slicing more than half way up.
However, C and E can't be made since the most sides your slice will be able to have is limited to the number of faces of the tetrahedron which is 4.