Answer:
Volume = [tex]x^3[/tex] cubic inches
Step-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 * height
THe 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 * height
Volume = [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]
