## Algebra 2 (1st Edition)

$5,5,8$.
Let $x$ be the length of the side of the base. Then our equation for the volume is: $x\cdot x(x+3)=200\\x^3+3x^2-200=0\\(x-5)(x^2+8x+40)=0$ The quadratic polynomial has a positive discriminant; thus it cannot be $0$, and $x-5=0\\x=5$. Thus the dimensions are: $5,5,8$.