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

Correct option is A

Given
Areas of adjacent faces of the cuboid = x, y, z
Formula Used
Volume of cuboid (V) = length × breadth × height
Solution
Let length, breadth, and height of the cuboid be l, b, and h respectively.
x = l × b
y = b × h
z = h × l
Multiply all three equations together:
x × y × z = (l × b) × (b × h) × (h × l)
​$$xyz = l^2 b^2 h^2 \\xyz = (lbh)^2$$​​
Since V = lbh, we substitute V:
xyz = $$V^2$$​​
V = $$\sqrt{xyz}$$​​
Final Answer
So the correct answer is (a)