Latest Infosys Aptitude Question SOLUTION: A cube of volume 1000 cm 3 is divided into small cubes of 1 cm 3 ..& all the outer surfaces are painted how many cubes will be there with (at least one side painted or no side pain

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A cube of volume 1000 cm 3 is divided into small cubes of 1 cm 3 ..& all the outer surfaces are painted how many cubes will be there with (at least one side painted or no side painted)..

Asked In Infosys Vijesh Jain (11 years ago)

Solved Kamal Read Solution (8)

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Kamal  (11 years ago)

Number of cubes with No side painted = 8*8*8 = 512
Number of cubes with atleast one side painted = 1000-512= 488

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

Prakhar Sharma  (11 years ago)

Answer must be 896.
because first of all if we consider faces, than at every face leaving its edges, we are left with a square of side 8.
so total cubes on a face are 8*8=64.
as there are 6 faces so there are 6*8*8=384 cubes, which are painted only at the one face.
Now we will have to consider the part which is untouched till now.
removing all the faces we are left with a 8*8*8 cube out of 10*10*10 cube.
SO this 8*8*8 cubes are the cubes, which are not having paint on any of their faces.

So total cubes which are One sided painted are = 8*8*6
and total cubes having no sides painted are =8*8*8
Final answer is 8*8*8+8*8*6=896

Is this solution Helpfull? Yes (6) | No (5)  

pritam banerjee  (9 years ago)

the rule for no side painted is (X-2)^3 where x=side a cube here x =cube root of 1000=10 so ans is (10-2)^3

Is this solution Helpfull? Yes (3) | No   

Vijesh Jain  (11 years ago)

PLz explain the logic behind it .....

Is this solution Helpfull? Yes (2) | No   

pritam banerjee  (9 years ago)

the rule for no side painted is (X-2)^3 where x=side a cube here x =cube root of 1000=10 so ans is (10-2)^3

Is this solution Helpfull? Yes (2) | No   

shweta  (11 years ago)

imagine a cube ,only cube inside a bigger cube having side 10 unpainted is 8

Is this solution Helpfull? Yes | No (6)  

Anuj Katiyal  (11 years ago)

Number of cubes with No side painted = 8*8*8 = 512
Number of cubes with atleast one side painted = 1000-512= 488 ... agreed

Is this solution Helpfull? Yes | No (1)  

pritam banerjee  (9 years ago)

the rule for no side painted is (X-2)^3 where x=side a cube here x =cube root of 1000=10 so ans is (10-2)^3

Is this solution Helpfull? Yes | No   

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