The cube

The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?

Correct result:

n =  61

Solution:

$$\begin{gathered} a=25\text{ cm } \\ b=5\text{ cm } \\ c=20\text{ cm } \\ V=a^3-c^3=25^3-20^3=7625{\text{cm}}^3 \\ {V}_1=b^3=5^3=125{\text{cm}}^3 \\ n=V\mathrm{/}{V}_1=7625\mathrm{/}125=61 \end{gathered}$$

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