How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?

(a) 10

(b) 100

(c) 1000

(d) 10000

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Solution

Edge of cube =10 cm

$∴$ Volume $= a^{3} = (10)^{3} = 1000 c m^{3}$

Edge of box =1m =100 cm

$∴$ Volume $= (100)^{3} = 1000000 c m^{3}$

No of cubes $= \frac{1000000}{1000} = 1000$

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