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

a) 900   b) 488    c) 563   d) 800

Ans: Total cubes to form hollow cube ?
If it is cube it contains how many cubes =5^3=125
How many number of  small cubes  required to form a hollow cube= 125-3^3=98
Total number of faces in small cubes=98*6=588
number of painted faces=5*5=25
Number of unpainted faces=588-25=563

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Abhilash Thampy said…
No of cubes = 5*5*5 - 3*3*3 =125- 27=98
Total faces =98*6= 588
No of faces painted =5*5= 25
Unpainted surface =588 -25 =563
January 9, 2020 at 7:53 PM
January 12, 2020 at 5:58 PM
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