How many cubes each of surface $24 {c m}^{2}$ can be made from a $10 c m$ cube?

120

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125

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140

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216

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Solution

The correct option is B $125$
Vol of 10'cm cube $= 1000 c m^{3}$
small cube has $S . A = 6 a^{2} = 24 \Rightarrow a = 2 ∴$ vol. is $8 c m^{3}$
$\Rightarrow$ no of cubes formed are $\frac{1000}{8} = 125$

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