A thin wire is used to construct all the edges of a cube of 1 m side by bending, cutting and soldering the wire. If the wire is 12 m long, what is the minimum number of cuts required to construct the wire frame of the cube?

Question

Accepted Answer

The correct answer is A, 3. GATE 2025 official key: (A). A cube has 12 edges of total length 12 m, matching the wire exactly (no waste). The wire can be bent into an Eulerian-type path covering all 12 edges using just 3 cuts to create the needed separate segments/loops that, when soldered at the joints, form the complete wire frame.