The relationship between the coefficient of linear expansion \( \alpha \) and volumetric expansion (\( \gamma \)) is-----------------

The relationship between the coefficient of linear expansion (?) and volumetric expansion (?) is that the volumetric expansion is equal to 3 times the coefficient of linear expansion. In other words, ? = 3?. This relationship can be understood by considering the fact that volumetric expansion involves a change in all three dimensions of an object (length, width, and height), whereas linear expansion involves a change in only one dimension (length). Since a change in volume involves a change in all three dimensions, it makes sense that the coefficient of volumetric expansion would be larger than the coefficient of linear expansion. Specifically, since there are three dimensions involved in volumetric expansion, the coefficient of linear expansion is multiplied by 3 to obtain the coefficient of volumetric expansion. Hence, the relationship between the two coefficients is ? = 3?.