Question

Plz help and explain ty

Answer 1

To find possible dimensions, we can factor the expression.


$V=6y^3+19y^2+10y$
$V=y(6y^2+19y+10)$
$V=y(6y^2+15y+4y+10)$
$V=y(3y(2y+5)+2(2y+5))$
$V=y((2y+5)(3y+2)$
So the possible dimensions of the rectangular prism are
{y, 2y+5, 3y+2}