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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?

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? Correct Answer 120 cm<sup>3</sup>

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.

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