1.

What are possible expressions for the dimensions of the cuboids whose volumes are given below ? (i) volume `=3x^(2)-12x " " (ii) "volume" =12ky^(2)+8ky-20k`

Answer» (i) We have, volume of cuboid `=3x^(2)-12x=3x(x-4)`
One possible expressions for the dimensions of the cuboid is 3, x and x-4.
(ii) We have, volume of cuboid`=(12ky^(2)+8ky-20k=12ky^(2)+20ky-12ky-20k`
=4ky(3y+5)-4k(3y+5)=(3y+5)(4ky-4k)
=(3y+5)4k(y-1)
One possible expression for the dimensions of the cuboid is 4k, 3y+5 and y-1.


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