Question

what are the possible expressions for the dimensions of cuboid whose volume is given below?
12ky^2+8ky-20k.(^2is for the square of y)

Answer 1

12ky^2+8ky-20k
4k(3y^2+2y-5)
4k(3y^2-3y+5y-5)
4k(3y(y-1)+5(y-1))
4k(3y+5)(y-1)
so,length= 4k
breadth=(3y+5)
and height=(y-1)

Answer 2

Question :

What are the possible expressions for the dimensions of the cuboid whose volume is 12ky² + 8ky - 20k ?

Solution :

Given volume = 12 ky²+7ky -20 k

To Find : It's Dimensions

Factorising it :

12 ky²+7ky -20 k

= 4k(3y²+2y-5)

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

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

Length = 4k

Breadth = 3y+5

Height = y-1