how do you Find expressions for the possible dimensions of the rectangular prism.

Question

V=4y^3+15y^2+9y find the possible dimensions

Answer 1

V = y(4y^2 + 15y +9) = y(4y+3)(y+3)

the dimensions are y by 4y+3 by y+3 where y> 0

if y =1, dimensions are 1 by 7 x 4

if y=2 dimensions are 2 by 11 by 5

if y=3 dimensions are 3 by 15 by 6

...

if y= 10 dimensions are 10 by 43 by 13

etc.