Cube of wire!!!!
Number Theory
Level
pending
What is the smallest number of cuts one must make in a 120cm wire, so as to be able to form a cube of side 10cm ?
The answer is 3.
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1 solution
If the wire could be formed without cuts, then we could follow the wire and transverse the figure of a cube without lifting the pencil from the paper. But, we can't. Since the graph of a cube has 8 odd vertices, there must be 4 pieces. Therefore, smallest no. of cuts must be 3 .