Latest CAT Aptitude Question SOLUTION: volume of a cube with integral sides is the same as the area of a square with integral sides.which of these can be the volume of the cube formed by using the square and its replica

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(#M40039736) CAT Numerical Ability question numbers Keep an EYE

volume of a cube with integral sides is the same as the area of a square with integral sides.which of these can be the volume of the cube formed by using the square and its replicas as the 6 faces a)19683 b)512 x)256 d)both a and b e)both a and c

Asked In CAT priyatanu (9 years ago)

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ASHISH PANDEY  (9 years ago)

let side of cube is L and side of square is S. L^3=S^2(as per ques.) so S=L^(3/2)
now new cube is formed using the given square as its faces , so side of this new cube= S. vol. of the new cube(V)= S^3=L^(9/2). SO L=V^2/9. And its given that L is an integer . so V=19683 or 512 as 19683=3^9 and 512=2^9.

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