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How many small cubes with an edge of 30 cm each can be just accommodated in a cubical box of 3 m edge?

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725

1000

500

1200

answer is B.

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Detailed Solution

It is given a cube.
We know that 1 m= 100 cm.
When, a= 3m = 300 cm.
We know that, volume of cube = a³.

V = a 3

Volume of larger cube

= (300) 3 c m 3

.
When, a = 30 cm,
Volume of smaller cube

= (30) 3 c m 3

Number of  cubes  = (300) 3 (30) 3

Number of cubes = (30 × 10) 3 (30) 3

Number of cubes = (30) 3 × (10) 3 (30) 3

Number of cubes = 103

Number of cubes = 1000
Therefore, the correct option is 2.

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