Answer:
Equation for the perimeter of prism's square face: 16x + 12
Step-by-step explanation:
Volume of Square prism = Length * Width * Height
= 144 x^3 + 216 x^2 +81 x
taking 9x common = 9x( 16 x^2 + 24 x + 9)
= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )
= 9x ( 4x+3)^2
so 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
