Correct Answer - Option 1 : 120 cm

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**Given:**

The areas of three consecutive faces of a cuboid are 12 cm2, 20 cm2, and 60 cm^{2}.

**Formula used:**

The volume of cuboid = l × b × h

Where l → length

b → breadth

h → height

**Calculations:**

Let the length, breadth, and height of the cuboid be x, y, and z respectively.

Then xy = 12 cm2, yz = 20 cm^{2}, and zx = 60 cm^{2}

By multiplying these three we'll get

xy × yz × zx = 12 × 20 × 60

⇒ x^{2}y^{2}z^{2} = 14400

⇒ (xyz)^{2} = 14400

⇒ xyz = 120 and –120, (Rejecting the negative term as volume cannot be negative)

Volume of cuboid = l × b × h = xyz

Thus xyz = 120 cm^{3}

**∴ The volume of the cuboid is 120 cm**^{3}.