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How many small cubes with edge of

Question:

How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?

(a) 10

(b) 100

(c) 1000

(d) 10000

Solution:

The correct answer is option (c) 1000

Explanation:

We know that, the volume of cube is (side)3

Therefore, the volume of each small cube is (20)3

= 8000 cm3

When it is converted into m3, we get

V = 0.008 m3

It is given that, the volume of the cuboidal box is 2= 8 m3

Now, the number of small cubes that can be accommodated in the cuboidal box is

= 8/ 0.008 = 1000

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