The areas of three consecutive faces of a cuboid are 12 cm2, then the volume (in cm3) of the cuboid is

Answer: Option D

Let the three sides of the cuboid be $$l$$, b and h
⇒ $$l$$b = bh = h$$l$$ = 12
⇒$$l$$²b²h² = 12 × 12 × 12
⇒$$l$$²b²h² = 1728
⇒ $$l$$bh = $$\sqrt{1728}$$
⇒ $$l$$bh = $$12\sqrt{12}$$
⇒ $$l$$bh = $$24\sqrt{3}\text{ c}{\text{m}}^3$$