Question

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

Answer 1

Volume =
`x^3` cubic inches

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 =
`x^2`

Now, we know height is also same side length, x, thus the volume becomes:

Volume = area of base * height

Volume =
`x^2*x`

We add the exponents when we have same base multiplied, so the expression for volume becomes:

Volume =
`x^2*x=x^3`