A non-isotropic solid metal cube has coefficients of linear expansion as:

$5 \times 10^{-5} /^{\circ} \mathrm{C}$ along the $\mathrm{x}$ -axis and $5 \times 10^{-6} /^{\circ} \mathrm{C}$ along the $y$ and the $z-$axis. If the coefficient of volume expansion of the solid is $\mathrm{C} \times 10^{-6} /^{\circ} \mathrm{C}$ then the value of $\mathrm{C}$ is

  • [JEE MAIN 2020]
  • A

    $55$

  • B

    $63$

  • C

    $67$

  • D

    $60$

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