Question

A cube is $6cm$ in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the left over faces. It is then cut into $216$ cubes of sides $1cm$. How many small cubes have no face painted?

• A. $16$
• B. $8$
• C. $64$
• D. $24$

Answer 1

The correct option is C $64$

Cube with number face painted$={(n-2)}^3\Rightarrow {(6-2)}^3\Rightarrow {\left(4\right)}^3=64$