Correct Answer - Option 3 : 120 cm
3
Given:
Area of three faces of a cuboid,
20 cm2, 30 cm2 and 24 cm2
Concept Used:
Adjacent faces of cuboids are rectangular in shape.
Formula Used:
Volume of a cuboid is (l × b × h)
Where,
l is length, b is breadth, and h is height
Calculation:
Let the length, breadth, and height of a cuboid be l, b, and h.
According to the question,
⇒ l × b = 20 cm2
⇒ b × h = 30 cm2
⇒ l × h = 24 cm2
Multiplying above 3 results,
We get,
⇒ (l × b) × (b × h) × (l × h) = (20) × (30) × (24)
⇒ l2b2h2 = 14,400
Taking square root on both sides,
⇒ l × b × h = 120
∴ Volume of a cuboid is 120 cm3.