Answer
Ans. 7cm
Work Step by Step
Given:- let the length of side of cube=x
A/c to the question a slice cut from a cube the sides will become,
x-3, x, x
Volume of cube =$(x-3)x•x$=$x^3-3x^2$=196
Therefore, $x^3-3x^2-196$=0
Find out the factor of equation by hit and trial method.
We get x=7
So, (x-7) will be its one factor
Dividing $x^3-3x^2-196$=0 by( x-7)
we get $x^2+4x+28=0$ and the equation does not have a real root.
So length of side of a cube is 7cm.
Ans.
