Question

125 small equal cubicle pieces are gather together and a big cube is made from this new cube A small cubes from one the top corner is removed and from its adjacent corner column of the three cube is removed from the third corner on the top of side it cubes are removed the all the exposed faces are coloured black now all cubes are separated Each Other find the number of cubes three side and two side painted​

Answer 1

Answer:

here is your answer mate

Step-by-step explanation:

A cube painted blue on all faces, is divided into125 small cubes. l x bx h = 125

ie, its length= 5

Breadth = 5

Height = 5

A cube has 6 faces

Let A & B be 1st pair of opposite lateral faces

C & D be 2nd pair of opposite lateral faces

E be Top face

F be bottom face

Now we find out the total number of painted faces =

Face A contains = 25 cubes ( l x h = 5x5)

Face B contains= 25 cubes( l x h = 5x5)

Face C contains = 15 cubes( b x h = 3 x5) we take breadth as 3, as corner cubes have already been counted with face A & B.

Face D contains =15 cubes( b xh= 3x5)

Face E contains= 9 cubes ( l x b= 3x3)

Face F contains = 9 cubes ( l x b= 3x3)

So total number of painted faces = 25+25+15+15+9+9= 98 cubes

Therefore, the number of cubes not painted on any of the faces, which lie inside = 125 — 98 = 27

ANS 27 cubes not painted on any of the faces