A non-isotropic solid metal cube has coefficients of linear expansion as: 5 × 10^-5 /^° C along the x -axis and 5 × 10^-6 /^° C along the y and the z…

A non-isotropic solid metal cube has coefficients of linear expansion as : $\displaystyle 5 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ along the $\displaystyle x$-axis and $\displaystyle 5 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ along the $\displaystyle y$ and the $\displaystyle z$-axis. If the coefficient of volume expansion of the solid is $\displaystyle \mathrm{C} \times 10^{-6} /{ }^{\circ} \mathrm{C}$ then the value of C is \_\_\_\_.