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Question

Find the number of small cubes with an edge of 10 cm that can be accommodated in a cubical box of edge 2 m.

A
800
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B
8,000
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C
400
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D
4,000
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Solution

The correct option is B 8,000
We know, volume of a cube of side(edge) 'a' is a3.

So, Volume of the cubical box,
V=(2×2×2) m3
V=8 m3

Volume of the small cube,
V=(10×10×10) cm3
V=1000 cm3
V=0.001 m3 (1 m3=106 cm3)

Let the number of small cubes be 'n'.
Then, n×V=V
n=VV
n=80.001
n=8,000
The number of small cubes that can be accommodated in the cubical box is 8,000.

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