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Total Surface Area of a Cuboid

How many cubi...

Question

How many cubical blocks whose edge measures $3$ cm can be formed by melting a cubic block of metal, whose edge is $15$ cm?

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Solution

Number of cubical blocks
$= \frac{V o l u m e o f t h e b i g c u b e}{V o l u m e o f t h e s m a l l c u b e}$
$= \frac{15 \times 15 \times 15}{3 \times 3 \times 3} = 5^{3} = 125$

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