Latest Accenture Aptitude Question SOLUTION: A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cm. 21.How many cubes have no face pai

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(#M40153104) ACCENTURE Logical Reasoning question Keep an EYE

A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of
each side 2 cm.
21.How many cubes have no face painted?

Asked In Accenture NEHA SINGH (8 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

shubham shinde  (8 years ago)

zero face colour=(n-2)^3
=(6-2)^3
=64

Is this solution Helpfull? Yes (4) | No (1)  

Sangeet Shekhar  (8 years ago)

2nd layer- 16 cubes have no face painted.
3rd layer- 16 cubes have no face painted.
4th layer- 16 cubes have no face painted.
5th layer- 16 cubes have no face painted.
Total- 16+16+16+16 =64

Is this solution Helpfull? Yes (4) | No (1)  

Gopinath Mahakud  (8 years ago)

if we cut the color side 2 cm of the cube form a cube side (12-(2+2))=8 cm
number of 2 cm side cube formed a cube of side 8 cm = (8*8*8)/(2*2*2)=64
ans=64

Is this solution Helpfull? Yes (1) | No   

DECODER  (7 years ago)

we have to cut 2 cm fro each side o the remaining dimesions are 8*8*8 which is =512

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kshitij  (8 years ago)

8 cubes , as we wil not consider 2cms from all the faces so remaining will be 4*4*4 now divide it by 2*2*2, so ans will be =8

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shwetha  (7 years ago)

no face painted= (l-2)*(b-2)*(h-2)= (6-2)(6-2)(6-2)= 64. Since, its a cube, l=b=h=6cm

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Divya Batra  (6 years ago)

answer is 64
solution is:-
there are 36 cubes in each layer of 2 cm each. toal 36* 6 layers=216 cubes
in 1st layer and 6th layer, all 36 cubes will be painted from all three sides(top, side and front)
so, 216-72=144 left cubes now
now, out of 144, in each layer(2nd,3rd, 4th,5th), 20 outside cubes of each layer, are painted. so,
20*4(2nd, 3rd, 4th, 5th)= 80 cubes are still painted(side view and front view of each cube.)
so, remaining cubes are 144- 80=64 cubes are still not painted.

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likitha  (6 years ago)

(N-2)^3
N=6
64

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