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?

Result

n =  61

Solution:

a=25 cm b=5 cm c=20 cm  V=a3−c3=253−203=7625 cm3 V1=b3=53=125 cm3  n=V/V1=7625/125=61a=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/V_{1}=7625/125=61

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