# Questions tagged [solid-geometry]

In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space. (Ref: http://en.m.wikipedia.org/wiki/Solid_geometry)

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### Why is the number of ways to open up a cube $4! \times 2^4$?

A cube has $12$ edges. Cut seven of them and lay out the remaining ones on a table. It's known that the number of distinct connected meshes with non-overlapping faces is $11$ (How many distinct ways ...
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### A cone has a height of $10\;\mathrm{ cm}$ and base with radius of $4\;\mathrm{ cm}$. Find the volume of the cone.

A cone has a height of $10\;\mathrm{ cm}$ and base with radius of $4\;\mathrm{ cm}$ (a)Find the volume of the cone. (b) A cone frustum is formed when you eliminate the superior part of the cone with ...
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### Optimal path on the surface of cuboid doesn't visit the same face twice

There is a room in the shape of the cuboid. A spider sits somewhere on one of the faces. And there is a dead fly on one of the faces as well. The spider wants to get to the fly along the shortest path ...
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### Finding an oblique pyramid with a rectangular base which admits an inscribed sphere

I want to find the apex (or locus of the apex) of a pyramid with a given (known) rectangular base, that will have an inscribed sphere. To that end, I've written a computer code, to implement the ...
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