A rectangular bar of Copper has the dimensions of $305mm$ long x $95mm$ wide and $85mm$ high is used in a prototype instrument by Merseyrail, at the Kirkdale Train Depot to monitor track side temperatures.

The linear expansion of the copper material within the thermostatic device is used as part of a thermal switch. This function initiates the operation of a mobile application to text a warning that the temperature has increased above a set level and may cause damage to track, switch gear, rolling stock or requires staff to take extra precautions.

The grade of Copper in the bar has a density of $8960kg{m}^{-3}$

Using information from the tables on page provided, calculate the following when the air temperature is increased from $15C$ to $265C.$

Determine the linear expansion of the bar between $15$ &C and $265$ &C