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# What are the possible expressions for the dimensions of the cuboids whose volumes are given below ?i)Volume $$3x^2 - 12x$$ii)Volume $$12ky^2 + 8ky - 20k$$

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 expressions for the dimensions of the cuboid is 4k, 3y - 5 and y - 1.