16.(ii)  What are the possible expressions for the dimensions of the cuboid whose volumes is given below?

                    (ii)

    Volume :    12ky^2 + 8ky - 20k

Answers (1)

We know that 

Volume of cuboid is =  length \times breadth \times height

It is given that volume  =  12ky^2+8ky-20k

Now, 

\Rightarrow 12ky^2+8ky-20k = k(12y^2+8y-20)

                                               = k(12y^2+20y-12y-20)

                                               = k\left(4y(3y+5)-4(3y+5) \right )

                                               = k(3y+5)(4y-4)

                                               = 4k(3y+5)(y-1)

Therefore,one of the possible answer is possible 

Length = 4k  and  Breadth = (3y+5)  and  Height =  (y-1)
 

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