Answer:

Explanation:

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3 2

× +6× +20

Solution:-

p(x) = x³ - 6x² + 12x - 8

= x³ - 2³ - 3 × 2 × x(x - 2)

= (x - 2)³

⇒ Side of the cube = x - 2

Now, when the side of the cube = 3 cm

Volume of the cube = (3)³

= 27 cu cm

Or, x - 2 = 3  

x = 3 + 2

x = 5

Ans volume = 5³ - 6 × 5² + 12 × 5 - 8

= 125 - 150 + 60 - 8

= 185 - 158

= 27 Answer.