Product of Number of Edges, Edges per Face and Faces of Cube
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Theorem
The product of the number of edges, edges per face and faces of a cube is $288$.
Proof
A cube has:
- $12$ edges
and:
- $6$ faces.
Each face is a square, and so has $4$ edges.
Hence:
- $12 \times 6 \times 4 = 288$
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $72$