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A cuboid is of dimensions $60 c m × 54 c m × 30 c m$ . How many small cubes with side 6 cm can be placed in the given cuboid?

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450

480

430

350

answer is A.

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Detailed Solution

It is given a cuboid is of dimensions

60 c m × 54 c m × 30 c m

and small cubes with side 6 cm.
Volume of cuboid

= 1 × b × h

Volume of cube

= a 3

Volume of cuboid;

⇒ 1 × b × h ⇒ 60 × 54 × 30 ⇒ 97200 cm 3

Side of small cube a = 6 cm
Volume of cube;

⇒ a 3 ⇒ 63 ⇒ 6 × 6 × 6 ⇒ 216 cm 3

Number of small cubes are;

⇒ volume of cuboid volume of small cube ⇒ 97200216 ⇒ 450

Therefore, 450 small cubes can be placed inside the cuboid.
Hence option (1) is correct.

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