Wire is sized by the amperage that it will carry. 5 kW is 5000 watts. The equation to find watts is W = Amps x Volts. The equation to find amps is Amps = Watts/Volts. As you can see a voltage is needed to calculate the amperage. Once the amperage is stated, the wire size can be given for that particular amperage.
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Wire sizing is based on amperage. Without the amperage of the load or the voltage of the circuit, this question can not be answered.
The size of the wire is stated by its gauge under American Wire Gauge. Six gauge wire is size 6 AWG.
Wire size is governed by amperage not voltage. Voltage is an insulation factor when talking about wire. Add up the amperage of fixtures you want in the circuit. Once that is found then the size of the wire can be calculated.
Use what is called bell wire or thermostat wire.
The minimum size wire that engineers spec for industrial and commercial installations is #12 and it usually is stranded not solid wire.
As with any electrical installation, the wire size used depends on the expected maximum current the wire will carry. That cannot be determined by voltage alone.