If an isotropic solid has coefficients of linear expansion `alpha_(x),alpha_(y) and alpha_(z)`for three mutually perpendicular directions in the solid, what is the coefficient of volume expansion for the solid?

Explanation

To find the coefficient of volume expansion (γ) for an isotropic solid with coefficients of linear expansion \( \alpha_x, \alpha_y, \) and \( \alpha_z \) in three mutually perpendicular directions, we can follow these steps:

### Step-by-step Solution:

1. **Understanding the Initial Volume**:
Let the initial dimensions of the solid be \( L_x, L_y, \) and \( L_z \). The initial volume \( V \) of the solid can be expressed as:
\[
V = L_x \cdot L_y \cdot L_z
...