5x4 = 1x6?

Geometry Level 1

Is there any way to glue 5 tetrahedra (triangle-based pyramid) together to make a cube?

Clarification: These are not necessarily regular tetrahedra.

Yes No

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1 solution

Geoff Pilling
Sep 14, 2016

Yes \boxed{\text{Yes}} , like this:

I was thinking of regular tetrahedra, for which the answer would be No ...
Word tetrahedron is too often used when talking about regular tetrahedra, and that is why some people, like me, immediately assume that, which is the reason for only 60% getting this correct.

Jesse Nieminen - 4 years, 9 months ago

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Ah good point... I'll add a clarification. Thanks for the comment!

Geoff Pilling - 4 years, 9 months ago

Could you show there isn't any way to glue 5 regular tetrahedra together to make a cube?

Zuriel Aquino - 4 years, 2 months ago

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I think so... Lemme think about it.

Geoff Pilling - 4 years, 2 months ago

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