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

Answer: Option C

Let, length = l, breadth = b, height = h
Then,
x = lb, y = bh, z = lh
Let, V be the volume of the cuboid
Then, V = lbh
$$\begin{array}{rl}& \therefore xyz=lb\times bh\times lh\\ & \\ & ={\left(lbh\right)}^2\\ & =V^2\\ & orV=\sqrt{xyz}\end{array}$$