The scale factor of the cubes is 7:18.
'The scale factor states the scale by which a figure is bigger or smaller than the original figure.
According to the given problem,
The volume of first cube [tex]( V_{1} )[/tex] = 343 m³
The volume of second cube [tex]( V_{2} )[/tex] = 5832 m³
Scale factor = [tex]\sqrt[3]{\frac{343}{5832} }[/tex]
= [tex]\frac{7}{18}[/tex]
Hence, we can conclude, the scale factor of the cube with a volume of 343 m³ to a cube with a volume of 5832 m³ is 7:18.
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