A cuboid having the surface area of 3 adjacent faces as a, b, c has the volume:

Correct option is D

Given:
The Areas of 3 adjacent faces of cuboid = a, b & c
Formula used:
The volume of cuboid = Length × Breadth × Height
Solution:
The area of one face is lB =a
The area of the second face is BH=b
The area of the third face is lh=c
The volume of the cuboid is V=L⋅B⋅H By rearranging these three area equations, we get
So, a = L × B; b = B × H; c = H × L
abc = (L × B) × (B × H) × (H × L)
abc = L² × B² × H²
L × B × H = √abc
The volume of cuboid = √abc
= $$(abc)^{(1/2)}$$​​