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Volume of a cube

How many cuba...

Question

How many cubaical blocks of side $50 c m$ can be cut from a cubical block of wood of side $1 m$ ?

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Solution

Big cube: side $= 100 c m = 1 m$
Volume $= A^{3} = 100 \times 100 \times 100$
$= 1000000 c m^{3}$
Small cubes: Side $= 50 c m$
Volume $= a^{3} = 50 \times 50 \times 50$
$= 125000 c m^{3}$
No. of cubes that can be cut

$= \frac{1000000}{125000} = 8$ .

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