A cube has a side length of x inches. What expression represents the total volume, in cubic inches, of the cube?

Answer:Volume = [tex]x^3[/tex] cubic inchesStep-by-step explanation:A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.We know,Volume = area of base * heightTHe base is a square and the area is side * side. We know each side is x, so we have:Area of Square = Area of Base = x * x = [tex]x^2[/tex]Now, we know height is also same side length, x, thus the volume becomes:Volume = area of base * heightVolume = [tex]x^2*x[/tex]We add the exponents when we have same base multiplied, so the expression for volume becomes:Volume = [tex]x^2*x=x^3[/tex]