Sainik School Entrance Exam 2019 Solved Paper

Question : 138 of 150

Marks: +1, -0

A Cube painted blue on all the faces is cut into 125 cubes of equal size. Then, how many cubes are not painted on any face?

Solution:

(c)

n={∛{125}/∛{1}={5}/{1}=5

Hence, number of cube which are not painted

=(n-2)^3

=(5-2)^3

=(3)^3=27

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