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

User Landnbloc
by
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1 Answer

3 votes

Answer:

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

User Ajaykumar Mistry
by
5.9k points