If the areas of three adjacent faces of a cuboid are x, y and z, respectively, the volume of the cuboid is

(c) $\sqrt{x y z}$

Let the length of the cuboid = l
breadth of the cuboid = b
and height of the cuboid = h
Since, the areas of the three adjacent faces are x, y and z, we have:

$l b=x$

$b h=y$

$l h=z$

Therefore,

$l b \times b h \times l h=x y z$

$\Rightarrow l^{2} b^{2} h^{2}=x y z$

$\Rightarrow l b h=\sqrt{x y z}$

Hence, the volume of the cuboid $=l b h=\sqrt{x y z}$.