Latest Elitmus Aptitude Question SOLUTION: If there is a cube of dimension 7*7*7 which is made up of 343 smaller cube. A square of dimension 3*3*3 is inserted on each face of the cube. what is the total number of replaced s

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If there is a cube of dimension 7*7*7 which is made up of 343 smaller cube. A square of dimension 3*3*3 is inserted on each face of the cube. what is the total number of replaced smaller cube? A) 109 B) 162 C) 192 D) ?

Asked In Elitmus yatinkarel (10 years ago)

Solved Yogesh Khichi Read Solution (7)

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Read Solution (7) :

Yogesh Khichi  (10 years ago)

I guess 162
dimension of each smaller cube is 1*1*1, since 7*7*7=343 & it is made of 343 smaller cube so dimension of any smaller cube is 1-1-1.
now 3*3*3=27, therefore 27 smaller 1-1-1 cube has to be replace from each face
since we have total 6 faces, therefore 27*6=162

Is this solution Helpfull? Yes (24) | No (4)  

Akshay Mathur  (10 years ago)

How can there be a square of dimension 3*3*3

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

anisha  (9 years ago)

134
27+27 from two opposite faces.
21+21 from next two opposite faces.
19+19 from the remaining opposite fACES

Is this solution Helpfull? Yes (4) | No   

raushan kumar  (10 years ago)

162

3*3*3=27, therefore 27 smaller cube 1*1*1
so. 6*27 = 162.

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Yogesh Khichi  (10 years ago)

how come there can be 8 cubes of 3*3*3 dimension, deepak kumar

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deepak kumar  (10 years ago)

I think 216
7*7*7=343,hece smaller cube dimensions is 1*1*1
total 8 cube are inserted of dimesions 3*3*3
hece total replace cube is 27*8=216

Is this solution Helpfull? Yes (1) | No (6)  

Aditya Gupta  (7 years ago)

I think There is something wrong with the question because if we have inserted two 3*3*3 cubes on opposite faces of 7*7*7 cube how can we place another 3*3*3 on other faces as the 3*3*3 cube replaced earlier will resist them.

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