The volume of a square prism is 144x^3 +216x^2 +81x What is an expression that could describe the perimeter of one of the prism's square faces? Please state the steps in word form. Will give 25 points

Answer:Equation for the perimeter of prism's square face: 16x + 12Step-by-step explanation:Volume of Square prism = Length * Width * Height                                          = 144 x^3 + 216 x^2 +81 xtaking 9x common = 9x( 16 x^2 + 24 x + 9)                                = 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )                                 = 9x ( 4x+3)^2so the length is 9x, width is 4x+3 and height is 4x+3 Now, Perimeter of prism's square face = 2* Width + 2 * Height                                                                 = 2* (4x+3) + 2* (4x+3)                                                                 = 8x +6 + 8x + 6                                                                 = 16x +12