find the total surface area of cuboid whose dimensions are the zeros of X^3-6x^2+11x-6.
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Volume of a cuboid = L * B * H
Since one side = x-1
& volume = x^3 - 6x² + 11x - 6
So, the product of other 2 sides =
( x^3 - 6x² + 11x - 6) ÷ ( x-1)
= quotient = x² - 5x + 6 & remainder has to zero
Now, by factorizing x² - 5x + 6
= (x-3) ( x- 2)
This way , other 2 sides ( we can say its breadth & height) are ( x-2) & (( x-3)
see if it is right army
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