Question

The area of three adjacent faces of a cuboid are 20 cm², 30 cm² and 24 cm². What is the volume (in cm³) of the cuboid?
1. 60 cm3
2. 240 cm3
3. 120 cm³
4. 180 cm3

Answer 1

Correct Answer - Option 3 : 120 cm³

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.