Columbus School 16. Each side of a cube measuresx+4. Find a polynomial that represents the volume of this cube. Solution 1. Each side of cupe = (x + 4) Volume of cube = side*side*side Volume = (x+4)*(x+4)*(x+4) Volume = (x^2+8x+16)*(x+4) Volume = x^3 + 8x^2 + 16x + 4x^2 + 32x + 64 Volume = x^3 + 12x^2 + 48x + 64 2. In this case volume = (2x - 1)*(2x-1)*(2x-1) Volume = (4x^2 + 1 - 4x)*(2x - 1) V = 8x^3 + 2x - 8x^2 - 4x^2 - 1 + 4x V = 8x^3 - 2x^2 + 6x - 1 C. side = (x+5) new side = 4*(x+5) Area of square = new side*new side A = 4*(x+5)*4*(x+5) A = 16*(x^2 + 10x + 25) A = 16x^2 + 160x + 400.