Question

The number of cubes of unit side obtained from a cube of edge $8$ units is:

• A. $480$
• B. $512$
• C. $624$
• D. $714$

Answer 1

The correct option is B $512$

Given, edge of cube is $8$ unit.

Then, volume of cube whose side is $8$ unit $=a^3=(2{)}^3=512$ cubic unit.

And volume of cube whose side is $1$ unit $=a^3=(1{)}^3=1$ cubic unit.

Then, the number of cubes of unit side obtained from a cube of edge $8$ units is $=\frac{512}{1}=512$.

Therefore, option $B$ is correct.