Geometric Solids

Geometry Level 1

How many plane surfaces are on a hexahedron?

(Sorry, a picture would give away the answer)

3 2 4 6 8 5 7

Rui Chang Lu by Rui Chang Lu , 15, Oman

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3 solutions

So, in my school, we learn Latin and Greek stems for fun and as a competition. The stem "hexa" means 6 so you can automatically just click 6 and get the right answer.

P.S. STop making problems and announcements that are too easy or having something wrong with it. We want to have a brilliant experience by solving hard, logical problems.

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If you think it is easy, please just don't do my contributions to Brilliant.org. Many people find if interesting, sorry to know that you don't. I will improve it.

Rui Chang Lu - 1 year ago
Richard Desper
Oct 17, 2019

The prefix of a *hedron refers to the number of sides. "hex" is a prefix that means six. Thus, just as a hexagon has 6 sides, a hexahedron has 6 faces.

A hexahedron need not be cubic. It need not even be a rectangular parallelepiped. It need only have exactly six faces. A triangular prism with one truncated corner is a hexahedron.

A regular hexahedron is necessarily a cube.

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Rui Chang Lu
Oct 17, 2019

A 'hexahedron' is also known as a 'cube'. A cube has 6 plane surfaces (faces).

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