Question

If all the faces of a cube, whose edge is 15 cm, is coloured black, and then it is cut into small cubes, each of edge 3 cm, then how many pieces will …

Q. … no face coloured?

• A. 64
• B. 36
• C. 27
• D. 49

Answer 1

The correct option is C 27

$No.ofpiecesonanedge=n=15/3=5$
$Nofacecoloured=(n–2{)}^3=(5–2{)}^3=3^3=27.$