## Algebra 1

$16x+12$
$V = base * height * length$ Since the length and the height are part of a square, we can say $height = length$. Thus, $V = base * height^2$ $V = 144x^3 + 216x^2+81x$ $144x^3+216x^2+81x$ $3x(48x^2+72x+27)$ $3x*3(16x^2+24x+9)$ $9x(16x^2+24x+9)$ $9x(16x^2+12x+12x+9)$ $9x[4x(4x+3)+3(4x+3)]$ $9x[(4x+3)(4x+3)]$ $9x(4x+3)(4x+3)$ $9x$, $(4x+3)$, and $(4x+3)$ are the dimensions of the prism. Since $(4x+3)$ is listed twice, we know this is the height and the length. perimeter = side + side + side + side $perimeter = 4*side$ $P = 4*(4x+3)$ $P = 16x+12$