Latest TCS Aptitude Question SOLUTION: A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1cm. If 4 faces of the outer surface of the cube are painted, totally how many face

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A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remains unpainted?

Asked In TCS Abhishek kumar (14 years ago)

Solved PANKAJ KUMAR Read Solution (3)

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PANKAJ KUMAR  (14 years ago)

no of hollow cube shared by corner of cube is 8
no of hollow cube shared by edge of cube is 12*3 = 36
no of hollow cube shared by face of cube is 6(3*3) = 54
total no of hollow cube is: 8+36+54 = 98
total no of faces is 98*6 = 588
as each face contain 25 cubes so, total no of painted cube is 25*4 = 100
No of unpainted cube is = 588-100 = 488

Is this solution Helpfull? Yes (16) | No (5)  

SURAJ  (13 years ago)

total no.of cubes require to make hollow cube = 5*5*5-3*3*3=98
Total no.of faces of 98 cubes = 98*6 = 588
No.of outer faces of Big cube that is painted = 5*5*4=100
No.of unpainted face = 588 - 100 = 488

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RAVI  (14 years ago)

488

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