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Question -

What are the possible expressions for the dimensions of the cuboid whose volume is 3x2 – 12x.



Answer -

Volume 3x2 – 12x
= 3x(x – 4)
Factors are 3, x, and x – 4
Now, if length = 3, breadth = x and height = x – 4
if length =3, breadth = x – 4, height = x
if length = x, breadth = 3, height = x – 4
if length = x, breadth = x – 4, height = 3
if length = x – 4, breadth = 3, height = x
if length – x – 4, breadth = x, height = 3

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